102730760011252 has 48 divisors (see below), whose sum is σ = 188122070178000. Its totient is φ = 49023668219904.

The previous prime is 102730760011193. The next prime is 102730760011259. The reversal of 102730760011252 is 252110067037201.

It can be written as a sum of positive squares in 8 ways, for example, as 413569892836 + 102317190118416 = 643094^2 + 10115196^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102730760011259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3821274 + ... + 14834542.

It is an arithmetic number, because the mean of its divisors is an integer number (3919209795375).

Almost surely, 2^{102730760011252} is an apocalyptic number.

It is an amenable number.

102730760011252 is a deficient number, since it is larger than the sum of its proper divisors (85391310166748).

102730760011252 is a wasteful number, since it uses less digits than its factorization.

102730760011252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11014228 (or 11014226 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 102730760011252 in words is "one hundred two trillion, seven hundred thirty billion, seven hundred sixty million, eleven thousand, two hundred fifty-two".