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106808574152 = 2376148176491
BaseRepresentation
bin110001101111001001…
…0011000000011001000
3101012200200011202010202
41203132102120003020
53222220443333102
6121022302231332
710500546620630
oct1433622300310
9335620152122
10106808574152
114132a723695
1218849b85548
13a0c2270c47
1452533cb6c0
152ba1d3ee02
hex18de4980c8

106808574152 has 64 divisors (see below), whose sum is σ = 232711712640. Its totient is φ = 45008409600.

The previous prime is 106808574143. The next prime is 106808574167. The reversal of 106808574152 is 251475808601.

It is a super-2 number, since 2×1068085741522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106808574097 and 106808574106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16451627 + ... + 16458117.

It is an arithmetic number, because the mean of its divisors is an integer number (3636120510).

Almost surely, 2106808574152 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 106808574152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116355856320).

106808574152 is an abundant number, since it is smaller than the sum of its proper divisors (125903138488).

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

106808574152 is a wasteful number, since it uses less digits than its factorization.

106808574152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382 (or 11378 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 47.

The spelling of 106808574152 in words is "one hundred six billion, eight hundred eight million, five hundred seventy-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1708 3416 4817 6491 9634 12982 19268 25964 33719 38536 45437 51928 67438 90874 134876 181748 269752 293837 363496 395951 587674 791902 1175348 1583804 2056859 2350696 2771657 3167608 4113718 5543314 8227436 11086628 16454872 22173256 31267147 62534294 125068588 218870029 250137176 437740058 875480116 1750960232 1907295967 3814591934 7629183868 13351071769 15258367736 26702143538 53404287076 106808574152