106789188 has 48 divisors (see below), whose sum is σ = 272434176. Its totient is φ = 32288160.

The previous prime is 106789187. The next prime is 106789229. The reversal of 106789188 is 881987601.

It is a super-2 number, since 2×106789188² = 22807861347398688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106789187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108145 + ... + 109127.

It is an arithmetic number, because the mean of its divisors is an integer number (5675712).

Almost surely, 2^106789188 is an apocalyptic number.

It is an amenable number.

106789188 is an abundant number, since it is smaller than the sum of its proper divisors (165644988).

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

106789188 is a wasteful number, since it uses less digits than its factorization.

106789188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 48.

The square root of 106789188 is about 10333.8854261115. The cubic root of 106789188 is about 474.4339524985.

The spelling of 106789188 in words is "one hundred six million, seven hundred eighty-nine thousand, one hundred eighty-eight".