105130431 has 72 divisors (see below), whose sum is σ = 192600720. Its totient is φ = 54867456.

The previous prime is 105130427. The next prime is 105130457. The reversal of 105130431 is 134031501.

105130431 is a `hidden beast` number, since 105 + 130 + 431 = 666.

It is not a de Polignac number, because 105130431 - 2² = 105130427 is a prime.

It is a super-2 number, since 2×105130431² = 22104815044491522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105130471) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277200 + ... + 277578.

It is an arithmetic number, because the mean of its divisors is an integer number (2675010).

Almost surely, 2^105130431 is an apocalyptic number.

105130431 is a deficient number, since it is larger than the sum of its proper divisors (87470289).

105130431 is a wasteful number, since it uses less digits than its factorization.

105130431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105130431 is about 10253.3131718484. The cubic root of 105130431 is about 471.9646611841.

Adding to 105130431 its reverse (134031501), we get a palindrome (239161932).

The spelling of 105130431 in words is "one hundred five million, one hundred thirty thousand, four hundred thirty-one".