102645007920 has 1080 divisors, whose sum is σ = 449889423984. Its totient is φ = 21586424832.

The previous prime is 102645007919. The next prime is 102645007937. The reversal of 102645007920 is 29700546201.

102645007920 is a `hidden beast` number, since 1 + 0 + 2 + 64 + 500 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 215 ways as a sum of consecutive naturals, for example, 334348407 + ... + 334348713.

Almost surely, 2^102645007920 is an apocalyptic number.

102645007920 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 102645007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224944711992).

102645007920 is an abundant number, since it is smaller than the sum of its proper divisors (347244416064).

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

102645007920 is an equidigital number, since it uses as much as digits as its factorization.

102645007920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 102645007920 in words is "one hundred two billion, six hundred forty-five million, seven thousand, nine hundred twenty".