188106400 has 72 divisors (see below), whose sum is σ = 465649884. Its totient is φ = 74188800.

The previous prime is 188106341. The next prime is 188106433. The reversal of 188106400 is 4601881.

It can be written as a sum of positive squares in 6 ways, for example, as 100721296 + 87385104 = 10036^2 + 9348^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56790 + ... + 60010.

Almost surely, 2^188106400 is an apocalyptic number.

188106400 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 188106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232824942).

188106400 is an abundant number, since it is smaller than the sum of its proper divisors (277543484).

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

188106400 is a wasteful number, since it uses less digits than its factorization.

188106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 188106400 is about 13715.1886607513. The cubic root of 188106400 is about 572.9734837022.

The spelling of 188106400 in words is "one hundred eighty-eight million, one hundred six thousand, four hundred".