102312525400144 has 40 divisors (see below), whose sum is σ = 203214613510440. Its totient is φ = 49871878041600.

The previous prime is 102312525400121. The next prime is 102312525400147. The reversal of 102312525400144 is 441004525213201.

It can be written as a sum of positive squares in 4 ways, for example, as 5593168240144 + 96719357160000 = 2364988^2 + 9834600^2 .

It is a super-2 number, since 2×102312525400144² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312525400147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56404839 + ... + 58190470.

It is an arithmetic number, because the mean of its divisors is an integer number (5080365337761).

Almost surely, 2^{102312525400144} is an apocalyptic number.

It is an amenable number.

102312525400144 is a deficient number, since it is larger than the sum of its proper divisors (100902088110296).

102312525400144 is a wasteful number, since it uses less digits than its factorization.

102312525400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114596719 (or 114596713 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 102312525400144 in words is "one hundred two trillion, three hundred twelve billion, five hundred twenty-five million, four hundred thousand, one hundred forty-four".