102307479760656 has 135 divisors (see below), whose sum is σ = 288304313459071. Its totient is φ = 33867629548032.

The previous prime is 102307479760649. The next prime is 102307479760669. The reversal of 102307479760656 is 656067974703201.

It is a happy number.

The square root of 102307479760656 is 10114716.

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

102307479760656 is a `hidden beast` number, since 1 + 0 + 2 + 30 + 7 + 479 + 76 + 0 + 65 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62818622672400 + 39488857088256 = 7925820^2 + 6284016^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102307479760593 and 102307479760602.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18085109380 + ... + 18085115036.

Almost surely, 2^{102307479760656} is an apocalyptic number.

102307479760656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102307479760656 is the 10114716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102307479760656

102307479760656 is an abundant number, since it is smaller than the sum of its proper divisors (185996833698415).

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

102307479760656 is an frugal number, since it uses more digits than its factorization.

102307479760656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11626 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 102307479760656 in words is "one hundred two trillion, three hundred seven billion, four hundred seventy-nine million, seven hundred sixty thousand, six hundred fifty-six".