105137747 has 24 divisors (see below), whose sum is σ = 126020160. Its totient is φ = 87120000.

The previous prime is 105137737. The next prime is 105137759. The reversal of 105137747 is 747731501.

It is not a de Polignac number, because 105137747 - 2⁸ = 105137491 is a prime.

It is a super-2 number, since 2×105137747² = 22107891688472018, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105137737) 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 23 ways as a sum of consecutive naturals, for example, 139622 + ... + 140372.

It is an arithmetic number, because the mean of its divisors is an integer number (5250840).

Almost surely, 2^105137747 is an apocalyptic number.

105137747 is a deficient number, since it is larger than the sum of its proper divisors (20882413).

105137747 is a wasteful number, since it uses less digits than its factorization.

105137747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 35.

The square root of 105137747 is about 10253.6699283720. The cubic root of 105137747 is about 471.9756088971.

The spelling of 105137747 in words is "one hundred five million, one hundred thirty-seven thousand, seven hundred forty-seven".