108074400 has 216 divisors, whose sum is σ = 409661280. Its totient is φ = 24675840.

The previous prime is 108074399. The next prime is 108074429. The reversal of 108074400 is 4470801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117141 + ... + 118059.

It is an arithmetic number, because the mean of its divisors is an integer number (1896580).

Almost surely, 2^108074400 is an apocalyptic number.

108074400 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 108074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204830640).

108074400 is an abundant number, since it is smaller than the sum of its proper divisors (301586880).

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

108074400 is a wasteful number, since it uses less digits than its factorization.

108074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 108074400 is about 10395.8838008127. The cubic root of 108074400 is about 476.3296447838.

The spelling of 108074400 in words is "one hundred eight million, seventy-four thousand, four hundred".