102757653933025 has 81 divisors (see below), whose sum is σ = 160508678862681. Its totient is φ = 65039287884480.

The previous prime is 102757653932993. The next prime is 102757653933073. The reversal of 102757653933025 is 520339356757201.

It is a happy number.

The square root of 102757653933025 is 10136945.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26485937309601 + 76271716623424 = 5146449^2 + 8733368^2 .

It is not a de Polignac number, because 102757653933025 - 2⁵ = 102757653932993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4612298836 + ... + 4612321114.

Almost surely, 2^{102757653933025} is an apocalyptic number.

102757653933025 is the 10136945-th square number.

102757653933025 is the 5068473-rd centered octagonal number.

It is an amenable number.

102757653933025 is a deficient number, since it is larger than the sum of its proper divisors (57751024929656).

102757653933025 is an frugal number, since it uses more digits than its factorization.

102757653933025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44608 (or 22304 counting only the distinct ones).

The product of its (nonzero) digits is 35721000, while the sum is 58.

The spelling of 102757653933025 in words is "one hundred two trillion, seven hundred fifty-seven billion, six hundred fifty-three million, nine hundred thirty-three thousand, twenty-five".