102255739416964 has 243 divisors, whose sum is σ = 217072865370501. Its totient is φ = 42024510702720.

The previous prime is 102255739416907. The next prime is 102255739416983. The reversal of 102255739416964 is 469614937552201.

The square root of 102255739416964 is 10112158.

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., 4927254546564 + 97328484870400 = 2219742^2 + 9865520^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102255739416896 and 102255739416905.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 458545916557 + ... + 458545916779.

Almost surely, 2^{102255739416964} is an apocalyptic number.

102255739416964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102255739416964 is the 10112158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102255739416964

102255739416964 is an abundant number, since it is smaller than the sum of its proper divisors (114817125953537).

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

102255739416964 is an frugal number, since it uses more digits than its factorization.

102255739416964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 64.

The spelling of 102255739416964 in words is "one hundred two trillion, two hundred fifty-five billion, seven hundred thirty-nine million, four hundred sixteen thousand, nine hundred sixty-four".