100359 has 24 divisors (see below), whose sum is σ = 174720. Its totient is φ = 56376.

The previous prime is 100357. The next prime is 100361. The reversal of 100359 is 953001.

It is an interprime number because it is at equal distance from previous prime (100357) and next prime (100361).

It is not a de Polignac number, because 100359 - 2¹ = 100357 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100359.

It is not an unprimeable number, because it can be changed into a prime (100357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672 + ... + 1730.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2¹⁰⁰³⁵⁹ is an apocalyptic number.

100359 is a deficient number, since it is larger than the sum of its proper divisors (74361).

100359 is an frugal number, since it uses more digits than its factorization.

100359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 100359 is about 316.7948863224. The cubic root of 100359 is about 46.4713663467.

The spelling of 100359 in words is "one hundred thousand, three hundred fifty-nine".