105998685 has 32 divisors (see below), whose sum is σ = 184356480. Its totient is φ = 51694848.

The previous prime is 105998647. The next prime is 105998687. The reversal of 105998685 is 586899501.

It is not a de Polignac number, because 105998685 - 2⁸ = 105998429 is a prime.

It is a super-2 number, since 2×105998685² = 22471442443458450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105998687) 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, 18762 + ... + 23748.

It is an arithmetic number, because the mean of its divisors is an integer number (5761140).

Almost surely, 2^105998685 is an apocalyptic number.

105998685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105998685 is a deficient number, since it is larger than the sum of its proper divisors (78357795).

105998685 is a wasteful number, since it uses less digits than its factorization.

105998685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117.

The product of its (nonzero) digits is 777600, while the sum is 51.

The square root of 105998685 is about 10295.5662787435. The cubic root of 105998685 is about 473.2603920643.

The spelling of 105998685 in words is "one hundred five million, nine hundred ninety-eight thousand, six hundred eighty-five".