105733104 has 40 divisors (see below), whose sum is σ = 275971920. Its totient is φ = 34879488.

The previous prime is 105733097. The next prime is 105733109. The reversal of 105733104 is 401337501.

It is a super-2 number, since 2×105733104² = 22358978562949632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105733109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6699 + ... + 16010.

It is an arithmetic number, because the mean of its divisors is an integer number (6899298).

Almost surely, 2^105733104 is an apocalyptic number.

It is an amenable number.

105733104 is an abundant number, since it is smaller than the sum of its proper divisors (170238816).

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

105733104 is a wasteful number, since it uses less digits than its factorization.

105733104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22817 (or 22811 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 105733104 is about 10282.6603561530. The cubic root of 105733104 is about 472.8648082691.

The spelling of 105733104 in words is "one hundred five million, seven hundred thirty-three thousand, one hundred four".