109821933 has 32 divisors (see below), whose sum is σ = 180884480. Its totient is φ = 65396160.

The previous prime is 109821923. The next prime is 109821947. The reversal of 109821933 is 339128901.

It is not a de Polignac number, because 109821933 - 2⁴ = 109821917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109821923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5835 + ... + 15927.

It is an arithmetic number, because the mean of its divisors is an integer number (5652640).

Almost surely, 2^109821933 is an apocalyptic number.

109821933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

109821933 is a deficient number, since it is larger than the sum of its proper divisors (71062547).

109821933 is a wasteful number, since it uses less digits than its factorization.

109821933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10146 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 109821933 is about 10479.5960322906. The cubic root of 109821933 is about 478.8833025078.

The spelling of 109821933 in words is "one hundred nine million, eight hundred twenty-one thousand, nine hundred thirty-three".