189420100 has 36 divisors (see below), whose sum is σ = 411887700. Its totient is φ = 75612160.

The previous prime is 189420097. The next prime is 189420151. The reversal of 189420100 is 1024981.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 26193924 + 163226176 = 5118^2 + 12776^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55236 + ... + 58564.

It is an arithmetic number, because the mean of its divisors is an integer number (11441325).

Almost surely, 2^189420100 is an apocalyptic number.

189420100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189420100 is an abundant number, since it is smaller than the sum of its proper divisors (222467600).

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

189420100 is a wasteful number, since it uses less digits than its factorization.

189420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 189420100 is about 13762.9974932789. The cubic root of 189420100 is about 574.3042372161.

The spelling of 189420100 in words is "one hundred eighty-nine million, four hundred twenty thousand, one hundred".