105696057600 has 1944 divisors, whose sum is σ = 486430220640. Its totient is φ = 22574039040.

The previous prime is 105696057569. The next prime is 105696057611. The reversal of 105696057600 is 6750696501.

105696057600 is a `hidden beast` number, since 10 + 5 + 6 + 9 + 60 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×105696057600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1447891164 + ... + 1447891236.

Almost surely, 2^105696057600 is an apocalyptic number.

105696057600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105696057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243215110320).

105696057600 is an abundant number, since it is smaller than the sum of its proper divisors (380734163040).

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

105696057600 is an equidigital number, since it uses as much as digits as its factorization.

105696057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 105696057600 in words is "one hundred five billion, six hundred ninety-six million, fifty-seven thousand, six hundred".