105757600078050 has 48 divisors (see below), whose sum is σ = 262359525763872. Its totient is φ = 28193351680000.

The previous prime is 105757600078007. The next prime is 105757600078057. The reversal of 105757600078050 is 50870006757501.

It is a super-2 number, since 2×105757600078050² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105757600077984 and 105757600078002.

It is not an unprimeable number, because it can be changed into a prime (105757600078057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107948319 + ... + 108923618.

It is an arithmetic number, because the mean of its divisors is an integer number (5465823453414).

Almost surely, 2^{105757600078050} is an apocalyptic number.

105757600078050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105757600078050 is an abundant number, since it is smaller than the sum of its proper divisors (156601925685822).

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

105757600078050 is a wasteful number, since it uses less digits than its factorization.

105757600078050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216875203 (or 216875198 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 51.

The spelling of 105757600078050 in words is "one hundred five trillion, seven hundred fifty-seven billion, six hundred million, seventy-eight thousand, fifty".