109504737225 has 81 divisors (see below), whose sum is σ = 212508259743. Its totient is φ = 53878256640.

The previous prime is 109504737203. The next prime is 109504737257. The reversal of 109504737225 is 522737405901.

It is a happy number.

The square root of 109504737225 is 330915.

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

109504737225 is a `hidden beast` number, since 1 + 0 + 9 + 504 + 73 + 72 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 48373163721 + 61131573504 = 219939^2 + 247248^2 .

It is not a de Polignac number, because 109504737225 - 2¹⁵ = 109504704457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 64527577 + ... + 64529273.

Almost surely, 2^109504737225 is an apocalyptic number.

109504737225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

109504737225 is the 330915-th square number.

109504737225 is the 165458-th centered octagonal number.

It is an amenable number.

109504737225 is a deficient number, since it is larger than the sum of its proper divisors (103003522518).

109504737225 is an equidigital number, since it uses as much as digits as its factorization.

109504737225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 109504737225 in words is "one hundred nine billion, five hundred four million, seven hundred thirty-seven thousand, two hundred twenty-five".