102342924795024 has 315 divisors, whose sum is σ = 303910690173033. Its totient is φ = 33371719047936.

The previous prime is 102342924795019. The next prime is 102342924795031. The reversal of 102342924795024 is 420597429243201.

It is a happy number.

The square root of 102342924795024 is 10116468.

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

102342924795024 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 2 + 92 + 47 + 9 + 502 + 4 = 666.

102342924795024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 74901754976400 + 27441169818624 = 8654580^2 + 5238432^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 51351190572 + ... + 51351192564.

Almost surely, 2^{102342924795024} is an apocalyptic number.

102342924795024 is the 10116468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102342924795024

102342924795024 is an abundant number, since it is smaller than the sum of its proper divisors (201567765378009).

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

102342924795024 is an frugal number, since it uses more digits than its factorization.

102342924795024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 102342924795024 in words is "one hundred two trillion, three hundred forty-two billion, nine hundred twenty-four million, seven hundred ninety-five thousand, twenty-four".