105698 has 8 divisors (see below), whose sum is σ = 162540. Its totient is φ = 51520.

The previous prime is 105691. The next prime is 105701. The reversal of 105698 is 896501.

It can be written as a sum of positive squares in 2 ways, for example, as 104329 + 1369 = 323^2 + 37^2 .

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

It is a super-2 number, since 2×105698² = 22344134408, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105698.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105698.

It is not an unprimeable number, because it can be changed into a prime (105691) by changing a digit.

105698 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 563 + ... + 726.

2¹⁰⁵⁶⁹⁸ is an apocalyptic number.

105698 is a deficient number, since it is larger than the sum of its proper divisors (56842).

105698 is a wasteful number, since it uses less digits than its factorization.

105698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 105698 is about 325.1122882944. The cubic root of 105698 is about 47.2812471196.

The spelling of 105698 in words is "one hundred five thousand, six hundred ninety-eight".