109900193 has 12 divisors (see below), whose sum is σ = 119644668. Its totient is φ = 100900800.

The previous prime is 109900151. The next prime is 109900207. The reversal of 109900193 is 391009901.

It can be written as a sum of positive squares in 6 ways, for example, as 5513104 + 104387089 = 2348^2 + 10217^2 .

It is not a de Polignac number, because 109900193 - 2¹² = 109896097 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (109903193) 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 11 ways as a sum of consecutive naturals, for example, 31643 + ... + 34943.

It is an arithmetic number, because the mean of its divisors is an integer number (9970389).

Almost surely, 2^109900193 is an apocalyptic number.

109900193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

109900193 is a deficient number, since it is larger than the sum of its proper divisors (9744475).

109900193 is a wasteful number, since it uses less digits than its factorization.

109900193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 32.

The square root of 109900193 is about 10483.3292898773. The cubic root of 109900193 is about 478.9970275398.

The spelling of 109900193 in words is "one hundred nine million, nine hundred thousand, one hundred ninety-three".