105897 has 8 divisors (see below), whose sum is σ = 154080. Its totient is φ = 64160.

The previous prime is 105883. The next prime is 105899. The reversal of 105897 is 798501.

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

It is a cyclic number.

It is not a de Polignac number, because 105897 - 2⁷ = 105769 is a prime.

It is a super-2 number, since 2×105897² = 22428349218, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105897.

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 7 ways as a sum of consecutive naturals, for example, 1572 + ... + 1637.

It is an arithmetic number, because the mean of its divisors is an integer number (19260).

2¹⁰⁵⁸⁹⁷ is an apocalyptic number.

It is an amenable number.

105897 is a deficient number, since it is larger than the sum of its proper divisors (48183).

105897 is a wasteful number, since it uses less digits than its factorization.

105897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 105897 is about 325.4181924847. The cubic root of 105897 is about 47.3109010062.

The spelling of 105897 in words is "one hundred five thousand, eight hundred ninety-seven".