102412740864 has 432 divisors, whose sum is σ = 341620097280. Its totient is φ = 27067944960.

The previous prime is 102412740839. The next prime is 102412740917. The reversal of 102412740864 is 468047214201.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30743679 + ... + 30747009.

Almost surely, 2^102412740864 is an apocalyptic number.

102412740864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102412740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170810048640).

102412740864 is an abundant number, since it is smaller than the sum of its proper divisors (239207356416).

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

102412740864 is a wasteful number, since it uses less digits than its factorization.

102412740864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 102412740864 in words is "one hundred two billion, four hundred twelve million, seven hundred forty thousand, eight hundred sixty-four".