105921933 has 24 divisors (see below), whose sum is σ = 155564640. Its totient is φ = 64059840.

The previous prime is 105921919. The next prime is 105921953. The reversal of 105921933 is 339129501.

It is not a de Polignac number, because 105921933 - 2⁶ = 105921869 is a prime.

It is a super-2 number, since 2×105921933² = 22438911780912978, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105921894 and 105921903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105921913) 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 23 ways as a sum of consecutive naturals, for example, 28143 + ... + 31683.

It is an arithmetic number, because the mean of its divisors is an integer number (6481860).

Almost surely, 2^105921933 is an apocalyptic number.

105921933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105921933 is a deficient number, since it is larger than the sum of its proper divisors (49642707).

105921933 is a wasteful number, since it uses less digits than its factorization.

105921933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 105921933 is about 10291.8381740095. The cubic root of 105921933 is about 473.1461376523.

The spelling of 105921933 in words is "one hundred five million, nine hundred twenty-one thousand, nine hundred thirty-three".