188138100 has 72 divisors (see below), whose sum is σ = 549527328. Its totient is φ = 49692800.

The previous prime is 188138089. The next prime is 188138147. The reversal of 188138100 is 1831881.

188138100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×188138100² = 70791889343220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29170 + ... + 35030.

It is an arithmetic number, because the mean of its divisors is an integer number (7632324).

Almost surely, 2^188138100 is an apocalyptic number.

188138100 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 188138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274763664).

188138100 is an abundant number, since it is smaller than the sum of its proper divisors (361389228).

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

188138100 is a wasteful number, since it uses less digits than its factorization.

188138100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5985 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 188138100 is about 13716.3442651459. The cubic root of 188138100 is about 573.0056680390.

Adding to 188138100 its reverse (1831881), we get a palindrome (189969981).

The spelling of 188138100 in words is "one hundred eighty-eight million, one hundred thirty-eight thousand, one hundred".