109564310025 has 27 divisors (see below), whose sum is σ = 196250746471. Its totient is φ = 58431650640.

The previous prime is 109564310017. The next prime is 109564310041. The reversal of 109564310025 is 520013465901.

The square root of 109564310025 is 331005.

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

109564310025 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 643 + 1 + 0 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39443151609 + 70121158416 = 198603^2 + 264804^2 .

It is not a de Polignac number, because 109564310025 - 2³ = 109564310017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4954042 + ... + 4976108.

Almost surely, 2^109564310025 is an apocalyptic number.

109564310025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

109564310025 is the 331005-th square number.

109564310025 is the 165503-rd centered octagonal number.

It is an amenable number.

109564310025 is a deficient number, since it is larger than the sum of its proper divisors (86686436446).

109564310025 is an frugal number, since it uses more digits than its factorization.

109564310025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44150 (or 22075 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 109564310025 by its sum of digits (36), we get a square (3944315160900 = 1986030²).

Adding to 109564310025 its reverse (520013465901), we get a palindrome (629577775926).

The spelling of 109564310025 in words is "one hundred nine billion, five hundred sixty-four million, three hundred ten thousand, twenty-five".