105890031 has 16 divisors (see below), whose sum is σ = 168941920. Its totient is φ = 65162880.

The previous prime is 105890027. The next prime is 105890047. The reversal of 105890031 is 130098501.

It is not a de Polignac number, because 105890031 - 2² = 105890027 is a prime.

It is a super-2 number, since 2×105890031² = 22425397330361922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105889977 and 105890004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105890011) 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, 150490 + ... + 151191.

It is an arithmetic number, because the mean of its divisors is an integer number (10558870).

Almost surely, 2^105890031 is an apocalyptic number.

105890031 is a deficient number, since it is larger than the sum of its proper divisors (63051889).

105890031 is a wasteful number, since it uses less digits than its factorization.

105890031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301703 (or 301697 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 105890031 is about 10290.2881883842. The cubic root of 105890031 is about 473.0986315211.

The spelling of 105890031 in words is "one hundred five million, eight hundred ninety thousand, thirty-one".