109935225 has 45 divisors (see below), whose sum is σ = 204515773. Its totient is φ = 58380480.

The previous prime is 109935169. The next prime is 109935229. The reversal of 109935225 is 522539901.

It is a happy number.

The square root of 109935225 is 10485.

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 21650409 + 88284816 = 4653^2 + 9396^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 109935225 - 2¹³ = 109927033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 109935225.

It is not an unprimeable number, because it can be changed into a prime (109935229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 471709 + ... + 471941.

Almost surely, 2^109935225 is an apocalyptic number.

109935225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

109935225 is the 10485-th square number.

109935225 is the 5243-rd centered octagonal number.

It is an amenable number.

109935225 is a deficient number, since it is larger than the sum of its proper divisors (94580548).

109935225 is an frugal number, since it uses more digits than its factorization.

109935225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The cubic root of 109935225 is about 479.0479174754.

Multiplying 109935225 by its sum of digits (36), we get a square (3957668100 = 62910²).

The spelling of 109935225 in words is "one hundred nine million, nine hundred thirty-five thousand, two hundred twenty-five".