101592000225 has 81 divisors (see below), whose sum is σ = 189191916147. Its totient is φ = 54113553360.

The previous prime is 101592000203. The next prime is 101592000227. The reversal of 101592000225 is 522000295101.

The square root of 101592000225 is 318735.

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., 36573120081 + 65018880144 = 191241^2 + 254988^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 101592000225 - 2²³ = 101583611617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101592000227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 129087282 + ... + 129088068.

Almost surely, 2^101592000225 is an apocalyptic number.

101592000225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101592000225 is the 318735-th square number.

101592000225 is the 159368-th centered octagonal number.

It is an amenable number.

101592000225 is a deficient number, since it is larger than the sum of its proper divisors (87599915922).

101592000225 is an frugal number, since it uses more digits than its factorization.

101592000225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 101592000225 its reverse (522000295101), we get a palindrome (623592295326).

The spelling of 101592000225 in words is "one hundred one billion, five hundred ninety-two million, two hundred twenty-five", and thus it is an aban number.