105838689 has 16 divisors (see below), whose sum is σ = 157224960. Its totient is φ = 62778960.

The previous prime is 105838687. The next prime is 105838693. The reversal of 105838689 is 986838501.

It is not a de Polignac number, because 105838689 - 2¹ = 105838687 is a prime.

It is a super-2 number, since 2×105838689² = 22403656178477442, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105838687) 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, 32569 + ... + 35670.

It is an arithmetic number, because the mean of its divisors is an integer number (9826560).

Almost surely, 2^105838689 is an apocalyptic number.

It is an amenable number.

105838689 is a deficient number, since it is larger than the sum of its proper divisors (51386271).

105838689 is a wasteful number, since it uses less digits than its factorization.

105838689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68300.

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 105838689 is about 10287.7932035981. The cubic root of 105838689 is about 473.0221567214.

The spelling of 105838689 in words is "one hundred five million, eight hundred thirty-eight thousand, six hundred eighty-nine".