109009872 has 60 divisors (see below), whose sum is σ = 305872164. Its totient is φ = 36241920.

The previous prime is 109009853. The next prime is 109009889. The reversal of 109009872 is 278900901.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76108176 + 32901696 = 8724^2 + 5736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74298 + ... + 75750.

Almost surely, 2^109009872 is an apocalyptic number.

109009872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109009872 is an abundant number, since it is smaller than the sum of its proper divisors (196862292).

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

109009872 is a wasteful number, since it uses less digits than its factorization.

109009872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 109009872 is about 10440.7792812606. The cubic root of 109009872 is about 477.7000388071.

The spelling of 109009872 in words is "one hundred nine million, nine thousand, eight hundred seventy-two".