105199385 has 16 divisors (see below), whose sum is σ = 131423040. Its totient is φ = 80740800.

The previous prime is 105199373. The next prime is 105199387. The reversal of 105199385 is 583991501.

It is a de Polignac number, because none of the positive numbers 2^k-105199385 is a prime.

It is a super-2 number, since 2×105199385² = 22133821208756450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105199387) 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, 21410 + ... + 25860.

It is an arithmetic number, because the mean of its divisors is an integer number (8213940).

Almost surely, 2^105199385 is an apocalyptic number.

It is an amenable number.

105199385 is a deficient number, since it is larger than the sum of its proper divisors (26223655).

105199385 is a wasteful number, since it uses less digits than its factorization.

105199385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648.

The product of its (nonzero) digits is 48600, while the sum is 41.

The square root of 105199385 is about 10256.6751435346. The cubic root of 105199385 is about 472.0678242691.

The spelling of 105199385 in words is "one hundred five million, one hundred ninety-nine thousand, three hundred eighty-five".