105651252400457 has 16 divisors (see below), whose sum is σ = 111930276971520. Its totient is φ = 99445347676800.

The previous prime is 105651252400427. The next prime is 105651252400501. The reversal of 105651252400457 is 754004252156501.

It is not a de Polignac number, because 105651252400457 - 2²⁸ = 105650983965001 is a prime.

It is a super-2 number, since 2×105651252400457² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105651252400427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14750828 + ... + 20709645.

It is an arithmetic number, because the mean of its divisors is an integer number (6995642310720).

Almost surely, 2^{105651252400457} is an apocalyptic number.

It is an amenable number.

105651252400457 is a deficient number, since it is larger than the sum of its proper divisors (6279024571063).

105651252400457 is a wasteful number, since it uses less digits than its factorization.

105651252400457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35461504.

The product of its (nonzero) digits is 1680000, while the sum is 47.

The spelling of 105651252400457 in words is "one hundred five trillion, six hundred fifty-one billion, two hundred fifty-two million, four hundred thousand, four hundred fifty-seven".