105833330 has 16 divisors (see below), whose sum is σ = 201706200. Its totient is φ = 39843072.

The previous prime is 105833323. The next prime is 105833339. The reversal of 105833330 is 33338501.

It can be written as a sum of positive squares in 4 ways, for example, as 105493441 + 339889 = 10271^2 + 583^2 .

It is a super-2 number, since 2×105833330² = 22401387477777800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105833330.

It is not an unprimeable number, because it can be changed into a prime (105833339) 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, 311105 + ... + 311444.

Almost surely, 2^105833330 is an apocalyptic number.

105833330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105833330 is a deficient number, since it is larger than the sum of its proper divisors (95872870).

105833330 is a wasteful number, since it uses less digits than its factorization.

105833330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622573.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 105833330 is about 10287.5327459989. The cubic root of 105833330 is about 473.0141729726.

The spelling of 105833330 in words is "one hundred five million, eight hundred thirty-three thousand, three hundred thirty".