105956381853600 has 144 divisors (see below), whose sum is σ = 345400491828672. Its totient is φ = 28213051023360.

The previous prime is 105956381853547. The next prime is 105956381853601. The reversal of 105956381853600 is 6358183659501.

It is a happy number.

It is a super-2 number, since 2×105956381853600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (105956381853601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31184572 + ... + 34414971.

It is an arithmetic number, because the mean of its divisors is an integer number (2398614526588).

Almost surely, 2^{105956381853600} is an apocalyptic number.

105956381853600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105956381853600 is an abundant number, since it is smaller than the sum of its proper divisors (239444109975072).

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

105956381853600 is a wasteful number, since it uses less digits than its factorization.

105956381853600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65600239 (or 65600226 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 60.

The spelling of 105956381853600 in words is "one hundred five trillion, nine hundred fifty-six billion, three hundred eighty-one million, eight hundred fifty-three thousand, six hundred".