102937095307264 has 75 divisors (see below), whose sum is σ = 205957332359017. Its totient is φ = 51447769071616.

The previous prime is 102937095307243. The next prime is 102937095307303. The reversal of 102937095307264 is 462703590739201.

The square root of 102937095307264 is 10145792.

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

It can be written as a sum of positive squares in only one way, i.e., 51674244710400 + 51262850596864 = 7188480^2 + 7159808^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102937095307199 and 102937095307208.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 41557162794 + ... + 41557165270.

Almost surely, 2^{102937095307264} is an apocalyptic number.

102937095307264 is the 10145792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102937095307264

102937095307264 is an abundant number, since it is smaller than the sum of its proper divisors (103020237051753).

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

102937095307264 is an frugal number, since it uses more digits than its factorization.

102937095307264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 58.

The spelling of 102937095307264 in words is "one hundred two trillion, nine hundred thirty-seven billion, ninety-five million, three hundred seven thousand, two hundred sixty-four".