105933090 has 32 divisors (see below), whose sum is σ = 255721536. Its totient is φ = 28084160.

The previous prime is 105933089. The next prime is 105933133. The reversal of 105933090 is 90339501.

It is a super-2 number, since 2×105933090² = 22443639113896200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5016 + ... + 15395.

It is an arithmetic number, because the mean of its divisors is an integer number (7991298).

Almost surely, 2^105933090 is an apocalyptic number.

105933090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105933090 is an abundant number, since it is smaller than the sum of its proper divisors (149788446).

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

105933090 is a wasteful number, since it uses less digits than its factorization.

105933090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20594.

The product of its (nonzero) digits is 3645, while the sum is 30.

The square root of 105933090 is about 10292.3801911900. The cubic root of 105933090 is about 473.1627495914.

The spelling of 105933090 in words is "one hundred five million, nine hundred thirty-three thousand, ninety".