105920988 has 24 divisors (see below), whose sum is σ = 250279680. Its totient is φ = 34859760.

The previous prime is 105920981. The next prime is 105921001. The reversal of 105920988 is 889029501.

It is a happy number.

It is a super-2 number, since 2×105920988² = 22438511397792288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105920981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54918 + ... + 56813.

It is an arithmetic number, because the mean of its divisors is an integer number (10428320).

Almost surely, 2^105920988 is an apocalyptic number.

It is an amenable number.

105920988 is an abundant number, since it is smaller than the sum of its proper divisors (144358692).

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

105920988 is a wasteful number, since it uses less digits than its factorization.

105920988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111817 (or 111815 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 105920988 is about 10291.7922637410. The cubic root of 105920988 is about 473.1447305643.

The spelling of 105920988 in words is "one hundred five million, nine hundred twenty thousand, nine hundred eighty-eight".