108019872 has 192 divisors, whose sum is σ = 337075200. Its totient is φ = 33592320.

The previous prime is 108019861. The next prime is 108019889. The reversal of 108019872 is 278910801.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990954 + ... + 991062.

It is an arithmetic number, because the mean of its divisors is an integer number (1755600).

Almost surely, 2^108019872 is an apocalyptic number.

108019872 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 108019872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168537600).

108019872 is an abundant number, since it is smaller than the sum of its proper divisors (229055328).

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

108019872 is a wasteful number, since it uses less digits than its factorization.

108019872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 108019872 is about 10393.2608934829. The cubic root of 108019872 is about 476.2495219786.

The spelling of 108019872 in words is "one hundred eight million, nineteen thousand, eight hundred seventy-two".