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106737102276 = 22373728910429
BaseRepresentation
bin110001101101000000…
…1101110110111000100
3101012111200200121011020
41203122001232313010
53222044144233101
6121011230311140
710466021254050
oct1433201566704
9335450617136
10106737102276
11412a3347822
121882a0584b0
13a0b05084ac
145247b04c60
152b9a923136
hex18da06edc4

106737102276 has 144 divisors (see below), whose sum is σ = 295848201600. Its totient is φ = 29335882752.

The previous prime is 106737102247. The next prime is 106737102281. The reversal of 106737102276 is 672201737601.

It is a super-2 number, since 2×1067371022762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10229430 + ... + 10239858.

It is an arithmetic number, because the mean of its divisors is an integer number (2054501400).

Almost surely, 2106737102276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106737102276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147924100800).

106737102276 is an abundant number, since it is smaller than the sum of its proper divisors (189111099324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106737102276 is a wasteful number, since it uses less digits than its factorization.

106737102276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10606 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

Adding to 106737102276 its reverse (672201737601), we get a palindrome (778938839877).

The spelling of 106737102276 in words is "one hundred six billion, seven hundred thirty-seven million, one hundred two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 89 111 148 178 222 259 267 356 444 518 534 623 777 1036 1068 1246 1369 1554 1869 2492 2738 3108 3293 3738 4107 5476 6586 7476 8214 9583 9879 10429 13172 16428 19166 19758 20858 23051 28749 31287 38332 39516 41716 46102 57498 62574 69153 73003 92204 114996 121841 125148 138306 146006 219009 243682 276612 292012 365523 385873 438018 487364 731046 771746 852887 876036 928181 1157619 1462092 1543492 1705774 1856362 2315238 2558661 2701111 2784543 3411548 3712724 4630476 5117322 5402222 5569086 6497267 8103333 10234644 10804444 11138172 12994534 14277301 16206666 19491801 25989068 28554602 32413332 34342697 38983602 42831903 57109204 68685394 77967204 85663806 99941107 103028091 137370788 171327612 199882214 206056182 240398879 299823321 399764428 412112364 480797758 599646642 721196637 961595516 1199293284 1270679789 1442393274 2541359578 2884786548 3812039367 5082719156 7624078734 8894758523 15248157468 17789517046 26684275569 35579034092 53368551138 106737102276