102795914324224 has 135 divisors (see below), whose sum is σ = 225751015774585. Its totient is φ = 46716493429760.

The previous prime is 102795914324149. The next prime is 102795914324239. The reversal of 102795914324224 is 422423419597201.

The square root of 102795914324224 is 10138832.

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., 87982899206400 + 14813015117824 = 9379920^2 + 3848768^2 .

It is a super-4 number, since 4×102795914324224⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19628776134 + ... + 19628781370.

Almost surely, 2^{102795914324224} is an apocalyptic number.

102795914324224 is the 10138832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102795914324224

102795914324224 is an abundant number, since it is smaller than the sum of its proper divisors (122955101450361).

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

102795914324224 is an frugal number, since it uses more digits than its factorization.

102795914324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10534 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 102795914324224 in words is "one hundred two trillion, seven hundred ninety-five billion, nine hundred fourteen million, three hundred twenty-four thousand, two hundred twenty-four".