105898 has 8 divisors (see below), whose sum is σ = 171108. Its totient is φ = 48864.

The previous prime is 105883. The next prime is 105899. The reversal of 105898 is 898501.

It can be written as a sum of positive squares in 2 ways, for example, as 88209 + 17689 = 297^2 + 133^2 .

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

It is a super-2 number, since 2×105898² = 22428772808, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105899) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2011 + ... + 2062.

2¹⁰⁵⁸⁹⁸ is an apocalyptic number.

105898 is a deficient number, since it is larger than the sum of its proper divisors (65210).

105898 is a wasteful number, since it uses less digits than its factorization.

105898 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088.

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 105898 is about 325.4197289655. The cubic root of 105898 is about 47.3110499269.

It can be divided in two parts, 1058 and 98, that multiplied together give a square (103684 = 322²).

The spelling of 105898 in words is "one hundred five thousand, eight hundred ninety-eight".