105124731 has 16 divisors (see below), whose sum is σ = 141932160. Its totient is φ = 69206400.

The previous prime is 105124717. The next prime is 105124741. The reversal of 105124731 is 137421501.

It is not a de Polignac number, because 105124731 - 2⁵ = 105124699 is a prime.

It is a super-2 number, since 2×105124731² = 22102418135644722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105124741) 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, 86931 + ... + 88131.

It is an arithmetic number, because the mean of its divisors is an integer number (8870760).

Almost surely, 2^105124731 is an apocalyptic number.

105124731 is a deficient number, since it is larger than the sum of its proper divisors (36807429).

105124731 is a wasteful number, since it uses less digits than its factorization.

105124731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 105124731 is about 10253.0352091466. The cubic root of 105124731 is about 471.9561313126.

The spelling of 105124731 in words is "one hundred five million, one hundred twenty-four thousand, seven hundred thirty-one".