189905106 has 32 divisors (see below), whose sum is σ = 384067008. Its totient is φ = 62596800.

The previous prime is 189905099. The next prime is 189905167. The reversal of 189905106 is 601509981.

189905106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270556 + ... + 271256.

It is an arithmetic number, because the mean of its divisors is an integer number (12002094).

Almost surely, 2^189905106 is an apocalyptic number.

189905106 is an abundant number, since it is smaller than the sum of its proper divisors (194161902).

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

189905106 is a wasteful number, since it uses less digits than its factorization.

189905106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146.

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 189905106 is about 13780.6061550282. The cubic root of 189905106 is about 574.7939839145.

The spelling of 189905106 in words is "one hundred eighty-nine million, nine hundred five thousand, one hundred six".