105250510534 has 96 divisors (see below), whose sum is σ = 183952244160. Its totient is φ = 44982153216.

The previous prime is 105250510523. The next prime is 105250510549. The reversal of 105250510534 is 435015052501.

It is a super-2 number, since 2×105250510534² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105250510496 and 105250510505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141655767 + ... + 141656509.

It is an arithmetic number, because the mean of its divisors is an integer number (1916169210).

Almost surely, 2^105250510534 is an apocalyptic number.

105250510534 is a deficient number, since it is larger than the sum of its proper divisors (78701733626).

105250510534 is a wasteful number, since it uses less digits than its factorization.

105250510534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The spelling of 105250510534 in words is "one hundred five billion, two hundred fifty million, five hundred ten thousand, five hundred thirty-four".