105937 has 8 divisors (see below), whose sum is σ = 118440. Its totient is φ = 94080.

The previous prime is 105929. The next prime is 105943. The reversal of 105937 is 739501.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 96721 = 96^2 + 311^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105937 - 2³ = 105929 is a prime.

It is a super-2 number, since 2×105937² = 22445295938, which contains 22 as substring.

It is a Duffinian number.

105937 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (105907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (14805).

2¹⁰⁵⁹³⁷ is an apocalyptic number.

It is an amenable number.

105937 is a deficient number, since it is larger than the sum of its proper divisors (12503).

105937 is a wasteful number, since it uses less digits than its factorization.

105937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323.

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 105937 is about 325.4796460610. The cubic root of 105937 is about 47.3168571013.

The spelling of 105937 in words is "one hundred five thousand, nine hundred thirty-seven".