108398160 has 240 divisors, whose sum is σ = 403922064. Its totient is φ = 25878528.

The previous prime is 108398131. The next prime is 108398203. The reversal of 108398160 is 61893801.

108398160 is a `hidden beast` number, since 108 + 398 + 160 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15776784 + 92621376 = 3972^2 + 9624^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×108398160² = 23500322182771200, which contains 22 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 346164 + ... + 346476.

Almost surely, 2^108398160 is an apocalyptic number.

108398160 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 108398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201961032).

108398160 is an abundant number, since it is smaller than the sum of its proper divisors (295523904).

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

108398160 is a wasteful number, since it uses less digits than its factorization.

108398160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 108398160 is about 10411.4437039250. The cubic root of 108398160 is about 476.8048197417.

The spelling of 108398160 in words is "one hundred eight million, three hundred ninety-eight thousand, one hundred sixty".