108104400 has 90 divisors (see below), whose sum is σ = 375164790. Its totient is φ = 28826880.

The previous prime is 108104369. The next prime is 108104407. The reversal of 108104400 is 4401801.

It can be written as a sum of positive squares in 3 ways, for example, as 33039504 + 75064896 = 5748^2 + 8664^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×108104400² = 23373122598720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108104407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11415 + ... + 18614.

Almost surely, 2^108104400 is an apocalyptic number.

108104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108104400 is an abundant number, since it is smaller than the sum of its proper divisors (267060390).

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

108104400 is a wasteful number, since it uses less digits than its factorization.

108104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30053 (or 30039 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 108104400 is about 10397.3265794626. The cubic root of 108104400 is about 476.3737149408.

The spelling of 108104400 in words is "one hundred eight million, one hundred four thousand, four hundred".