102782738925 has 72 divisors (see below), whose sum is σ = 187039170344. Its totient is φ = 53944289280.

The previous prime is 102782738921. The next prime is 102782738959. The reversal of 102782738925 is 529837287201.

102782738925 is a `hidden beast` number, since 1 + 0 + 278 + 273 + 89 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 646888356 + 102135850569 = 25434^2 + 319587^2 .

It is not a de Polignac number, because 102782738925 - 2² = 102782738921 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102782738921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7499379 + ... + 7513071.

Almost surely, 2^102782738925 is an apocalyptic number.

102782738925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102782738925 is a deficient number, since it is larger than the sum of its proper divisors (84256431419).

102782738925 is a wasteful number, since it uses less digits than its factorization.

102782738925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14239 (or 14231 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 102782738925 in words is "one hundred two billion, seven hundred eighty-two million, seven hundred thirty-eight thousand, nine hundred twenty-five".