108397800 has 216 divisors, whose sum is σ = 423814950. Its totient is φ = 24756480.

The previous prime is 108397789. The next prime is 108397811. The reversal of 108397800 is 8793801.

It is an interprime number because it is at equal distance from previous prime (108397789) and next prime (108397811).

It can be written as a sum of positive squares in 3 ways, for example, as 104162436 + 4235364 = 10206^2 + 2058^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 87586 + ... + 88814.

Almost surely, 2^108397800 is an apocalyptic number.

108397800 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 108397800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211907475).

108397800 is an abundant number, since it is smaller than the sum of its proper divisors (315417150).

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

108397800 is a wasteful number, since it uses less digits than its factorization.

108397800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 108397800 is about 10411.4264152421. The cubic root of 108397800 is about 476.8042919039.

The spelling of 108397800 in words is "one hundred eight million, three hundred ninety-seven thousand, eight hundred".