105931137 has 32 divisors (see below), whose sum is σ = 162892800. Its totient is φ = 60685632.

The previous prime is 105931129. The next prime is 105931141. The reversal of 105931137 is 731139501.

It is a happy number.

It is not a de Polignac number, because 105931137 - 2³ = 105931129 is a prime.

It is a super-2 number, since 2×105931137² = 22442811572225538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105931117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42508 + ... + 44930.

It is an arithmetic number, because the mean of its divisors is an integer number (5090400).

Almost surely, 2^105931137 is an apocalyptic number.

It is an amenable number.

105931137 is a deficient number, since it is larger than the sum of its proper divisors (56961663).

105931137 is a wasteful number, since it uses less digits than its factorization.

105931137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 105931137 is about 10292.2853147394. The cubic root of 105931137 is about 473.1598418046.

The spelling of 105931137 in words is "one hundred five million, nine hundred thirty-one thousand, one hundred thirty-seven".