105631031 has 16 divisors (see below), whose sum is σ = 117593856. Its totient is φ = 94080000.

The previous prime is 105631027. The next prime is 105631033. The reversal of 105631031 is 130136501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105631031 - 2² = 105631027 is a prime.

It is a super-2 number, since 2×105631031² = 22315829420245922, 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 = 105630994 and 105631012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105631033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164471 + ... + 165111.

It is an arithmetic number, because the mean of its divisors is an integer number (7349616).

Almost surely, 2^105631031 is an apocalyptic number.

105631031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105631031 is a deficient number, since it is larger than the sum of its proper divisors (11962825).

105631031 is a wasteful number, since it uses less digits than its factorization.

105631031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 105631031 is about 10277.6958020755. The cubic root of 105631031 is about 472.7125939733.

Adding to 105631031 its reverse (130136501), we get a palindrome (235767532).

It can be divided in two parts, 105 and 631031, that added together give a palindrome (631136).

The spelling of 105631031 in words is "one hundred five million, six hundred thirty-one thousand, thirty-one".