105626434634514 has 48 divisors (see below), whose sum is σ = 236791515444120. Its totient is φ = 33988596203520.

The previous prime is 105626434634491. The next prime is 105626434634561. The reversal of 105626434634514 is 415436434626501.

105626434634514 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 2 + 64 + 3 + 4 + 63 + 4 + 514 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87655151679489 + 17971282955025 = 9362433^2 + 4239255^2 .

It is a super-2 number, since 2×105626434634514² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15305967 + ... + 21107474.

Almost surely, 2^{105626434634514} is an apocalyptic number.

105626434634514 is an abundant number, since it is smaller than the sum of its proper divisors (131165080809606).

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

105626434634514 is a wasteful number, since it uses less digits than its factorization.

105626434634514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36419035 (or 36419032 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 105626434634514 in words is "one hundred five trillion, six hundred twenty-six billion, four hundred thirty-four million, six hundred thirty-four thousand, five hundred fourteen".