108577872 has 120 divisors (see below), whose sum is σ = 337978368. Its totient is φ = 32313600.

The previous prime is 108577853. The next prime is 108577873. The reversal of 108577872 is 278775801.

108577872 is a `hidden beast` number, since 1 + 0 + 8 + 577 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108577873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57097 + ... + 58967.

Almost surely, 2^108577872 is an apocalyptic number.

108577872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108577872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168989184).

108577872 is an abundant number, since it is smaller than the sum of its proper divisors (229400496).

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

108577872 is a wasteful number, since it uses less digits than its factorization.

108577872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The square root of 108577872 is about 10420.0706331579. The cubic root of 108577872 is about 477.0681705768.

The spelling of 108577872 in words is "one hundred eight million, five hundred seventy-seven thousand, eight hundred seventy-two".