108676400 has 120 divisors (see below), whose sum is σ = 306751200. Its totient is φ = 36218880.

The previous prime is 108676343. The next prime is 108676439. The reversal of 108676400 is 4676801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103076 + ... + 104124.

It is an arithmetic number, because the mean of its divisors is an integer number (2556260).

Almost surely, 2^108676400 is an apocalyptic number.

108676400 is a gapful number since it is divisible by the number (10) 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 108676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153375600).

108676400 is an abundant number, since it is smaller than the sum of its proper divisors (198074800).

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

108676400 is a wasteful number, since it uses less digits than its factorization.

108676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 108676400 is about 10424.7973601409. The cubic root of 108676400 is about 477.2124306703.

The spelling of 108676400 in words is "one hundred eight million, six hundred seventy-six thousand, four hundred".