108410400 has 360 divisors, whose sum is σ = 453720960. Its totient is φ = 24675840.

The previous prime is 108410399. The next prime is 108410413. The reversal of 108410400 is 4014801.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 453481 + ... + 453719.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 2^108410400 is an apocalyptic number.

108410400 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 108410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

108410400 is an abundant number, since it is smaller than the sum of its proper divisors (345310560).

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

108410400 is a wasteful number, since it uses less digits than its factorization.

108410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

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

The square root of 108410400 is about 10412.0315020653. The cubic root of 108410400 is about 476.8227655301.

The spelling of 108410400 in words is "one hundred eight million, four hundred ten thousand, four hundred".