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106106551572 = 22372211855229
BaseRepresentation
bin110001011010001110…
…0010111110100010100
3101010212202012022012110
41202310130113310110
53214301234122242
6120424503351020
710444263543600
oct1426434276424
9333782168173
10106106551572
1140aaa42273a
1218692a52470
13a00c9a4078
1451c8088500
152b603bd39c
hex18b4717d14

106106551572 has 72 divisors (see below), whose sum is σ = 289368780960. Its totient is φ = 30172443840.

The previous prime is 106106551561. The next prime is 106106551627. The reversal of 106106551572 is 275155601601.

It is a happy number.

106106551572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1061065515722 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106106551572.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303547 + ... + 551682.

Almost surely, 2106106551572 is an apocalyptic number.

106106551572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106106551572 is an abundant number, since it is smaller than the sum of its proper divisors (183262229388).

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

106106551572 is a wasteful number, since it uses less digits than its factorization.

106106551572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855461 (or 855452 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 39.

The spelling of 106106551572 in words is "one hundred six billion, one hundred six million, five hundred fifty-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 211 294 422 588 633 844 1266 1477 2532 2954 4431 5908 8862 10339 17724 20678 31017 41356 62034 124068 855229 1710458 2565687 3420916 5131374 5986603 10262748 11973206 17959809 23946412 35919618 41906221 71839236 83812442 125718663 167624884 180453319 251437326 360906638 502874652 541359957 721813276 1082719914 1263173233 2165439828 2526346466 3789519699 5052692932 7579039398 8842212631 15158078796 17684425262 26526637893 35368850524 53053275786 106106551572