108181872 has 80 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 35833536.

The previous prime is 108181867. The next prime is 108181873. The reversal of 108181872 is 278181801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108181873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76629 + ... + 78027.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2^108181872 is an apocalyptic number.

108181872 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 108181872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

108181872 is an abundant number, since it is smaller than the sum of its proper divisors (204298128).

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

108181872 is a wasteful number, since it uses less digits than its factorization.

108181872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 108181872 is about 10401.0514853067. The cubic root of 108181872 is about 476.4874840131.

The spelling of 108181872 in words is "one hundred eight million, one hundred eighty-one thousand, eight hundred seventy-two".