105956497872 has 100 divisors (see below), whose sum is σ = 310114900260. Its totient is φ = 34921953792.

The previous prime is 105956497841. The next prime is 105956497919. The reversal of 105956497872 is 278794659501.

105956497872 is a `hidden beast` number, since 10 + 5 + 9 + 56 + 497 + 87 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65589258816 + 40367239056 = 256104^2 + 200916^2 .

It is a super-2 number, since 2×105956497872² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 343963 + ... + 574650.

Almost surely, 2^105956497872 is an apocalyptic number.

105956497872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105956497872 is an abundant number, since it is smaller than the sum of its proper divisors (204158402388).

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

105956497872 is an equidigital number, since it uses as much as digits as its factorization.

105956497872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918722 (or 918707 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 105956497872 in words is "one hundred five billion, nine hundred fifty-six million, four hundred ninety-seven thousand, eight hundred seventy-two".