105614872536 has 128 divisors (see below), whose sum is σ = 271481932800. Its totient is φ = 34229045760.

The previous prime is 105614872513. The next prime is 105614872547. The reversal of 105614872536 is 635278416501.

It is a super-2 number, since 2×105614872536² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47211610 + ... + 47213846.

It is an arithmetic number, because the mean of its divisors is an integer number (2120952600).

Almost surely, 2^105614872536 is an apocalyptic number.

It is an amenable number.

105614872536 is an abundant number, since it is smaller than the sum of its proper divisors (165867060264).

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

105614872536 is a wasteful number, since it uses less digits than its factorization.

105614872536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 105614872536 in words is "one hundred five billion, six hundred fourteen million, eight hundred seventy-two thousand, five hundred thirty-six".