102413781504 has 120 divisors (see below), whose sum is σ = 297388620672. Its totient is φ = 33928243200.

The previous prime is 102413781383. The next prime is 102413781527. The reversal of 102413781504 is 405187314201.

102413781504 is a `hidden beast` number, since 1 + 0 + 2 + 41 + 37 + 81 + 504 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 682929 + ... + 819279.

Almost surely, 2^102413781504 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 102413781504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148694310336).

102413781504 is an abundant number, since it is smaller than the sum of its proper divisors (194974839168).

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

102413781504 is a wasteful number, since it uses less digits than its factorization.

102413781504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136538 (or 136519 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 102413781504 in words is "one hundred two billion, four hundred thirteen million, seven hundred eighty-one thousand, five hundred four".