102155631480 has 384 divisors, whose sum is σ = 392302310400. Its totient is φ = 22569394176.

The previous prime is 102155631467. The next prime is 102155631493. The reversal of 102155631480 is 84136551201.

102155631480 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 5 + 563 + 14 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (102155631467) and next prime (102155631493).

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 95 ways as a sum of consecutive naturals, for example, 10506061 + ... + 10515779.

It is an arithmetic number, because the mean of its divisors is an integer number (1021620600).

Almost surely, 2^102155631480 is an apocalyptic number.

102155631480 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 102155631480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196151155200).

102155631480 is an abundant number, since it is smaller than the sum of its proper divisors (290146678920).

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

102155631480 is a wasteful number, since it uses less digits than its factorization.

102155631480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9883 (or 9876 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 102155631480 in words is "one hundred two billion, one hundred fifty-five million, six hundred thirty-one thousand, four hundred eighty".