109987164 has 54 divisors (see below), whose sum is σ = 323419824. Its totient is φ = 31424400.

The previous prime is 109987153. The next prime is 109987187. The reversal of 109987164 is 461789901.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29412 + ... + 32939.

It is an arithmetic number, because the mean of its divisors is an integer number (5989256).

Almost surely, 2^109987164 is an apocalyptic number.

109987164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

109987164 is an abundant number, since it is smaller than the sum of its proper divisors (213432660).

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

109987164 is a wasteful number, since it uses less digits than its factorization.

109987164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62375 (or 62363 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 109987164 is about 10487.4765315590. The cubic root of 109987164 is about 479.1233478100.

The spelling of 109987164 in words is "one hundred nine million, nine hundred eighty-seven thousand, one hundred sixty-four".