105414626625 has 128 divisors (see below), whose sum is σ = 226235842560. Its totient is φ = 42297696000.

The previous prime is 105414626531. The next prime is 105414626687. The reversal of 105414626625 is 526626414501.

It is not a de Polignac number, because 105414626625 - 2²⁷ = 105280408897 is a prime.

It is a super-2 number, since 2×105414626625² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 774432 + ... + 900318.

It is an arithmetic number, because the mean of its divisors is an integer number (1767467520).

Almost surely, 2^105414626625 is an apocalyptic number.

105414626625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105414626625 is an abundant number, since it is smaller than the sum of its proper divisors (120821215935).

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

105414626625 is a wasteful number, since it uses less digits than its factorization.

105414626625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125952 (or 125942 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 105414626625 in words is "one hundred five billion, four hundred fourteen million, six hundred twenty-six thousand, six hundred twenty-five".