105323031 has 32 divisors (see below), whose sum is σ = 173456640. Its totient is φ = 62618400.

The previous prime is 105323021. The next prime is 105323069. The reversal of 105323031 is 130323501.

It is not a de Polignac number, because 105323031 - 2²³ = 96934423 is a prime.

It is a super-2 number, since 2×105323031² = 22185881718053922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105322995 and 105323013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105323011) 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 31 ways as a sum of consecutive naturals, for example, 12396 + ... + 19086.

It is an arithmetic number, because the mean of its divisors is an integer number (5420520).

Almost surely, 2^105323031 is an apocalyptic number.

105323031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105323031 is a deficient number, since it is larger than the sum of its proper divisors (68133609).

105323031 is a wasteful number, since it uses less digits than its factorization.

105323031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 105323031 is about 10262.7009602736. The cubic root of 105323031 is about 472.2527000172.

Adding to 105323031 its reverse (130323501), we get a palindrome (235646532).

The spelling of 105323031 in words is "one hundred five million, three hundred twenty-three thousand, thirty-one".