108001872 has 120 divisors (see below), whose sum is σ = 337978368. Its totient is φ = 31910400.

The previous prime is 108001849. The next prime is 108001879. The reversal of 108001872 is 278100801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108001879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64113 + ... + 65775.

Almost surely, 2^108001872 is an apocalyptic number.

108001872 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 108001872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168989184).

108001872 is an abundant number, since it is smaller than the sum of its proper divisors (229976496).

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

108001872 is a wasteful number, since it uses less digits than its factorization.

108001872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 108001872 is about 10392.3949116650. The cubic root of 108001872 is about 476.2230670697.

The spelling of 108001872 in words is "one hundred eight million, one thousand, eight hundred seventy-two".