105124631 has 8 divisors (see below), whose sum is σ = 106481664. Its totient is φ = 103776120.

The previous prime is 105124609. The next prime is 105124633. The reversal of 105124631 is 136421501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105124631 - 2⁶ = 105124567 is a prime.

It is a super-2 number, since 2×105124631² = 22102376085772322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105124597 and 105124606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105124633) 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 7 ways as a sum of consecutive naturals, for example, 24836 + ... + 28758.

It is an arithmetic number, because the mean of its divisors is an integer number (13310208).

Almost surely, 2^105124631 is an apocalyptic number.

105124631 is a deficient number, since it is larger than the sum of its proper divisors (1357033).

105124631 is a wasteful number, since it uses less digits than its factorization.

105124631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 105124631 is about 10253.0303325407. The cubic root of 105124631 is about 471.9559816630.

The spelling of 105124631 in words is "one hundred five million, one hundred twenty-four thousand, six hundred thirty-one".