108464400 has 360 divisors, whose sum is σ = 429451680. Its totient is φ = 25977600.

The previous prime is 108464387. The next prime is 108464413. The reversal of 108464400 is 4464801.

108464400 is a `hidden beast` number, since 10 + 8 + 4 + 644 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (108464387) and next prime (108464413).

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 (27).

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 71 ways as a sum of consecutive naturals, for example, 1306759 + ... + 1306841.

Almost surely, 2^108464400 is an apocalyptic number.

108464400 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 108464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214725840).

108464400 is an abundant number, since it is smaller than the sum of its proper divisors (320987280).

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

108464400 is a wasteful number, since it uses less digits than its factorization.

108464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 108464400 is about 10414.6243331193. The cubic root of 108464400 is about 476.9019220052.

The spelling of 108464400 in words is "one hundred eight million, four hundred sixty-four thousand, four hundred".