108993600 has 315 divisors, whose sum is σ = 414924367. Its totient is φ = 28062720.

The previous prime is 108993589. The next prime is 108993623. The reversal of 108993600 is 6399801.

108993600 = 1³ + 2³ + ... + 144³.

The square root of 108993600 is 10440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 107495424 = 1224^2 + 10368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3758386 + ... + 3758414.

Almost surely, 2^108993600 is an apocalyptic number.

108993600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108993600 is the 10440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108993600

108993600 is an abundant number, since it is smaller than the sum of its proper divisors (305930767).

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

108993600 is an equidigital number, since it uses as much as digits as its factorization.

108993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 108993600 is about 477.6762687219.

Multiplying 108993600 by its sum of digits (36), we get a square (3923769600 = 62640²).

108993600 divided by its sum of digits (36) gives a square (3027600 = 1740²).

Multiplying 108993600 by its product of nonzero digits (11664), we get a square (1271301350400 = 1127520²).

The spelling of 108993600 in words is "one hundred eight million, nine hundred ninety-three thousand, six hundred".