102164083140625 has 63 divisors (see below), whose sum is σ = 140387373897519. Its totient is φ = 74291043750000.

The previous prime is 102164083140617. The next prime is 102164083140641. The reversal of 102164083140625 is 526041380461201.

The square root of 102164083140625 is 10107625.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 89505544583169 + 12658538557456 = 9460737^2 + 3557884^2 .

It is not a de Polignac number, because 102164083140625 - 2³ = 102164083140617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 13897980700 + ... + 13897988050.

Almost surely, 2^{102164083140625} is an apocalyptic number.

102164083140625 is the 10107625-th square number.

102164083140625 is the 5053813-rd centered octagonal number.

It is an amenable number.

102164083140625 is a deficient number, since it is larger than the sum of its proper divisors (38223290756894).

102164083140625 is an frugal number, since it uses more digits than its factorization.

102164083140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14754 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 102164083140625 in words is "one hundred two trillion, one hundred sixty-four billion, eighty-three million, one hundred forty thousand, six hundred twenty-five".