108270400 has 126 divisors (see below), whose sum is σ = 310133238. Its totient is φ = 37094400.

The previous prime is 108270391. The next prime is 108270419. The reversal of 108270400 is 4072801.

It can be written as a sum of positive squares in 3 ways, for example, as 5531904 + 102738496 = 2352^2 + 10136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77710 + ... + 79090.

Almost surely, 2^108270400 is an apocalyptic number.

108270400 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 108270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155066619).

108270400 is an abundant number, since it is smaller than the sum of its proper divisors (201862838).

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

108270400 is a wasteful number, since it uses less digits than its factorization.

108270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 108270400 is about 10405.3063385947. The cubic root of 108270400 is about 476.6174225512.

The spelling of 108270400 in words is "one hundred eight million, two hundred seventy thousand, four hundred".