105004991 has 16 divisors (see below), whose sum is σ = 131880000. Its totient is φ = 83077344.

The previous prime is 105004981. The next prime is 105004993. The reversal of 105004991 is 199400501.

It is not a de Polignac number, because 105004991 - 2²² = 100810687 is a prime.

It is a super-2 number, since 2×105004991² = 22052096269820162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105004993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7316 + ... + 16233.

It is an arithmetic number, because the mean of its divisors is an integer number (8242500).

Almost surely, 2^105004991 is an apocalyptic number.

105004991 is a deficient number, since it is larger than the sum of its proper divisors (26875009).

105004991 is an equidigital number, since it uses as much as digits as its factorization.

105004991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23583 (or 23569 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 105004991 is about 10247.1942989289. The cubic root of 105004991 is about 471.7768728372.

The spelling of 105004991 in words is "one hundred five million, four thousand, nine hundred ninety-one".