105399 has 18 divisors (see below), whose sum is σ = 177840. Its totient is φ = 59976.

The previous prime is 105397. The next prime is 105401. The reversal of 105399 is 993501.

It is an interprime number because it is at equal distance from previous prime (105397) and next prime (105401).

It is not a de Polignac number, because 105399 - 2¹ = 105397 is a prime.

It is a super-2 number, since 2×105399² = 22217898402, which contains 22 as substring.

105399 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105397) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 322 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (9880).

2¹⁰⁵³⁹⁹ is an apocalyptic number.

105399 is a deficient number, since it is larger than the sum of its proper divisors (72441).

105399 is a wasteful number, since it uses less digits than its factorization.

105399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 105399 is about 324.6521215085. The cubic root of 105399 is about 47.2366217269.

The spelling of 105399 in words is "one hundred five thousand, three hundred ninety-nine".