105939291 has 32 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 63332864.

The previous prime is 105939287. The next prime is 105939329. The reversal of 105939291 is 192939501.

It is a cyclic number.

It is not a de Polignac number, because 105939291 - 2² = 105939287 is a prime.

It is a super-2 number, since 2×105939291² = 22446266755165362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105939241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122326 + ... + 123188.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 2^105939291 is an apocalyptic number.

105939291 is a deficient number, since it is larger than the sum of its proper divisors (50824869).

105939291 is a wasteful number, since it uses less digits than its factorization.

105939291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995.

The product of its (nonzero) digits is 21870, while the sum is 39.

The square root of 105939291 is about 10292.6814290543. The cubic root of 105939291 is about 473.1719819127.

The spelling of 105939291 in words is "one hundred five million, nine hundred thirty-nine thousand, two hundred ninety-one".