102640093920 has 768 divisors, whose sum is σ = 445225697280. Its totient is φ = 21505056768.

The previous prime is 102640093837. The next prime is 102640093937. The reversal of 102640093920 is 29390046201.

102640093920 is a `hidden beast` number, since 1 + 0 + 2 + 640 + 0 + 9 + 3 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61719009 + ... + 61720671.

It is an arithmetic number, because the mean of its divisors is an integer number (579720960).

Almost surely, 2^102640093920 is an apocalyptic number.

102640093920 is a gapful number since it is divisible by the number (10) 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 102640093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222612848640).

102640093920 is an abundant number, since it is smaller than the sum of its proper divisors (342585603360).

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

102640093920 is a wasteful number, since it uses less digits than its factorization.

102640093920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 102640093920 in words is "one hundred two billion, six hundred forty million, ninety-three thousand, nine hundred twenty".