105937713 has 40 divisors (see below), whose sum is σ = 181813632. Its totient is φ = 60217344.

The previous prime is 105937709. The next prime is 105937717. The reversal of 105937713 is 317739501.

It is an interprime number because it is at equal distance from previous prime (105937709) and next prime (105937717).

It is not a de Polignac number, because 105937713 - 2² = 105937709 is a prime.

It is a super-2 number, since 2×105937713² = 22445598071340738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105937717) 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 39 ways as a sum of consecutive naturals, for example, 145356 + ... + 146082.

Almost surely, 2^105937713 is an apocalyptic number.

It is an amenable number.

105937713 is a deficient number, since it is larger than the sum of its proper divisors (75875919).

105937713 is an equidigital number, since it uses as much as digits as its factorization.

105937713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 36.

The square root of 105937713 is about 10292.6047723596. The cubic root of 105937713 is about 473.1696325511.

The spelling of 105937713 in words is "one hundred five million, nine hundred thirty-seven thousand, seven hundred thirteen".