102082571302464 has 189 divisors, whose sum is σ = 308825793202017. Its totient is φ = 32235146546688.

The previous prime is 102082571302403. The next prime is 102082571302489. The reversal of 102082571302464 is 464203175280201.

The square root of 102082571302464 is 10103592.

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

102082571302464 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 8 + 2 + 57 + 130 + 2 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87172099560000 + 14910471742464 = 9336600^2 + 3861408^2 .

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, 4607226874 + ... + 4607249030.

Almost surely, 2^{102082571302464} is an apocalyptic number.

102082571302464 is the 10103592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102082571302464

102082571302464 is an abundant number, since it is smaller than the sum of its proper divisors (206743221899553).

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

102082571302464 is an frugal number, since it uses more digits than its factorization.

102082571302464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44370 (or 22181 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 102082571302464 in words is "one hundred two trillion, eighty-two billion, five hundred seventy-one million, three hundred two thousand, four hundred sixty-four".