109964925 has 144 divisors (see below), whose sum is σ = 251233920. Its totient is φ = 46033920.

The previous prime is 109964873. The next prime is 109964927. The reversal of 109964925 is 529469901.

It is not a de Polignac number, because 109964925 - 2⁷ = 109964797 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109964927) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2972007 + ... + 2972043.

It is an arithmetic number, because the mean of its divisors is an integer number (1744680).

Almost surely, 2^109964925 is an apocalyptic number.

109964925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109964925 is an abundant number, since it is smaller than the sum of its proper divisors (141268995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109964925 is a wasteful number, since it uses less digits than its factorization.

109964925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 109964925 is about 10486.4162133686. The cubic root of 109964925 is about 479.0910533071.

It can be divided in two parts, 109964 and 925, that added together give a square (110889 = 333²).

The spelling of 109964925 in words is "one hundred nine million, nine hundred sixty-four thousand, nine hundred twenty-five".