102577997284 has 27 divisors (see below), whose sum is σ = 208828622793. Its totient is φ = 43960077168.

The previous prime is 102577997267. The next prime is 102577997299. The reversal of 102577997284 is 482799775201.

The square root of 102577997284 is 320278.

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., 90811822500 + 11766174784 = 301350^2 + 108472^2 .

It is a super-2 number, since 2×102577997284² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4472454 + ... + 4495330.

Almost surely, 2^102577997284 is an apocalyptic number.

102577997284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102577997284 is the 320278-th square number.

It is an amenable number.

102577997284 is an abundant number, since it is smaller than the sum of its proper divisors (106250625509).

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

102577997284 is an frugal number, since it uses more digits than its factorization.

102577997284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45772 (or 22886 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 61.

The spelling of 102577997284 in words is "one hundred two billion, five hundred seventy-seven million, nine hundred ninety-seven thousand, two hundred eighty-four".