100900 has 18 divisors (see below), whose sum is σ = 219170. Its totient is φ = 40320.

The previous prime is 100853. The next prime is 100907. The reversal of 100900 is 9001.

It is a happy number.

100900 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 98596 = 48^2 + 314^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

100900 is a modest number, since divided by 900 gives 100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100907) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 405 + ... + 604.

2¹⁰⁰⁹⁰⁰ is an apocalyptic number.

100900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100900 is an abundant number, since it is smaller than the sum of its proper divisors (118270).

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

100900 is a wasteful number, since it uses less digits than its factorization.

100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 100900 is about 317.6476034854. The cubic root of 100900 is about 46.5547203344.

Adding to 100900 its reverse (9001), we get a palindrome (109901).

It can be divided in two parts, 100 and 900, that multiplied together give a square (90000 = 300²).

The spelling of 100900 in words is "one hundred thousand, nine hundred".