105900 has 36 divisors (see below), whose sum is σ = 307272. Its totient is φ = 28160.

The previous prime is 105899. The next prime is 105907. The reversal of 105900 is 9501.

It is a super-2 number, since 2×105900² = 22429620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105900.

It is not an unprimeable number, because it can be changed into a prime (105907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124 + ... + 476.

2¹⁰⁵⁹⁰⁰ is an apocalyptic number.

105900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153636).

105900 is an abundant number, since it is smaller than the sum of its proper divisors (201372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105900 is a wasteful number, since it uses less digits than its factorization.

105900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 105900 is about 325.4228019055. The cubic root of 105900 is about 47.3113477654.

The spelling of 105900 in words is "one hundred five thousand, nine hundred".