102680215072992 has 144 divisors (see below), whose sum is σ = 294308662781952. Its totient is φ = 33955781126400.

The previous prime is 102680215072969. The next prime is 102680215073099. The reversal of 102680215072992 is 299270512086201.

102680215072992 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 8 + 0 + 21 + 507 + 29 + 92 = 666.

102680215072992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1158207867 + ... + 1158296517.

It is an arithmetic number, because the mean of its divisors is an integer number (2043810158208).

Almost surely, 2^{102680215072992} is an apocalyptic number.

102680215072992 is a gapful number since it is divisible by the number (12) 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 102680215072992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147154331390976).

102680215072992 is an abundant number, since it is smaller than the sum of its proper divisors (191628447708960).

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

102680215072992 is a wasteful number, since it uses less digits than its factorization.

102680215072992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120461 (or 120450 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 102680215072992 in words is "one hundred two trillion, six hundred eighty billion, two hundred fifteen million, seventy-two thousand, nine hundred ninety-two".