102013959024 has 120 divisors (see below), whose sum is σ = 290747690064. Its totient is φ = 33381504000.

The previous prime is 102013959013. The next prime is 102013959031. The reversal of 102013959024 is 420959310201.

102013959024 is a `hidden beast` number, since 10 + 2 + 0 + 1 + 39 + 590 + 24 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102013959024.

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 23 ways as a sum of consecutive naturals, for example, 4565319 + ... + 4587609.

Almost surely, 2^102013959024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102013959024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145373845032).

102013959024 is an abundant number, since it is smaller than the sum of its proper divisors (188733731040).

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

102013959024 is a wasteful number, since it uses less digits than its factorization.

102013959024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22887 (or 22878 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 102013959024 in words is "one hundred two billion, thirteen million, nine hundred fifty-nine thousand, twenty-four".