105839937 has 48 divisors (see below), whose sum is σ = 190320000. Its totient is φ = 55302912.

The previous prime is 105839927. The next prime is 105839939. The reversal of 105839937 is 739938501.

It is a happy number.

It is not a de Polignac number, because 105839937 - 2⁷ = 105839809 is a prime.

It is a super-2 number, since 2×105839937² = 22404184528327938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105839892 and 105839901.

It is not an unprimeable number, because it can be changed into a prime (105839939) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33189 + ... + 36237.

It is an arithmetic number, because the mean of its divisors is an integer number (3965000).

Almost surely, 2^105839937 is an apocalyptic number.

It is an amenable number.

105839937 is a deficient number, since it is larger than the sum of its proper divisors (84480063).

105839937 is a wasteful number, since it uses less digits than its factorization.

105839937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 105839937 is about 10287.8538578267. The cubic root of 105839937 is about 473.0240159323.

The spelling of 105839937 in words is "one hundred five million, eight hundred thirty-nine thousand, nine hundred thirty-seven".