102287390976 has 135 divisors (see below), whose sum is σ = 305139880353. Its totient is φ = 34080445440.

The previous prime is 102287390963. The next prime is 102287390981. The reversal of 102287390976 is 679093782201.

The square root of 102287390976 is 319824.

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

102287390976 is a `hidden beast` number, since 102 + 2 + 87 + 390 + 9 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69366917376 + 32920473600 = 263376^2 + 181440^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 46053546 + ... + 46055766.

Almost surely, 2^102287390976 is an apocalyptic number.

102287390976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102287390976 is the 319824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102287390976

102287390976 is an abundant number, since it is smaller than the sum of its proper divisors (202852489377).

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

102287390976 is an frugal number, since it uses more digits than its factorization.

102287390976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 102287390976 in words is "one hundred two billion, two hundred eighty-seven million, three hundred ninety thousand, nine hundred seventy-six".