188972784100 has 81 divisors (see below), whose sum is σ = 424982428507. Its totient is φ = 72933904960.

The previous prime is 188972784089. The next prime is 188972784107. The reversal of 188972784100 is 1487279881.

The square root of 188972784100 is 434710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2597533156 + 186375250944 = 50966^2 + 431712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (188972784107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126065151 + ... + 126066649.

Almost surely, 2^188972784100 is an apocalyptic number.

188972784100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

188972784100 is the 434710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188972784100

188972784100 is an abundant number, since it is smaller than the sum of its proper divisors (236009644407).

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

188972784100 is an equidigital number, since it uses as much as digits as its factorization.

188972784100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 55.

The spelling of 188972784100 in words is "one hundred eighty-eight billion, nine hundred seventy-two million, seven hundred eighty-four thousand, one hundred".