102164166265140 has 96 divisors (see below), whose sum is σ = 363250368956160. Its totient is φ = 23351809431168.

The previous prime is 102164166265121. The next prime is 102164166265157. The reversal of 102164166265140 is 41562661461201.

102164166265140 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 6 + 4 + 1 + 6 + 626 + 5 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13513774827 + ... + 13513782386.

It is an arithmetic number, because the mean of its divisors is an integer number (3783858009960).

Almost surely, 2^{102164166265140} is an apocalyptic number.

102164166265140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102164166265140 is an abundant number, since it is smaller than the sum of its proper divisors (261086202691020).

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

102164166265140 is a wasteful number, since it uses less digits than its factorization.

102164166265140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27027557238 (or 27027557230 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 102164166265140 in words is "one hundred two trillion, one hundred sixty-four billion, one hundred sixty-six million, two hundred sixty-five thousand, one hundred forty".