105933037 has 16 divisors (see below), whose sum is σ = 130408960. Its totient is φ = 84015792.

The previous prime is 105933029. The next prime is 105933041. The reversal of 105933037 is 730339501.

It is not a de Polignac number, because 105933037 - 2³ = 105933029 is a prime.

It is a super-2 number, since 2×105933037² = 22443616656086738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105933437) 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 15 ways as a sum of consecutive naturals, for example, 3543 + ... + 14980.

It is an arithmetic number, because the mean of its divisors is an integer number (8150560).

Almost surely, 2^105933037 is an apocalyptic number.

It is an amenable number.

105933037 is a deficient number, since it is larger than the sum of its proper divisors (24475923).

105933037 is a wasteful number, since it uses less digits than its factorization.

105933037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18592.

The product of its (nonzero) digits is 8505, while the sum is 31.

The square root of 105933037 is about 10292.3776164694. The cubic root of 105933037 is about 473.1626706812.

The spelling of 105933037 in words is "one hundred five million, nine hundred thirty-three thousand, thirty-seven".