30900 has 36 divisors (see below), whose sum is σ = 90272. Its totient is φ = 8160.

The previous prime is 30893. The next prime is 30911. The reversal of 30900 is 903.

30900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

30900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249 + ... + 351.

2³⁰⁹⁰⁰ is an apocalyptic number.

30900 is a gapful number since it is divisible by the number (30) 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 30900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45136).

30900 is an abundant number, since it is smaller than the sum of its proper divisors (59372).

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

30900 is a wasteful number, since it uses less digits than its factorization.

30900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 30900 is about 175.7839583125. The cubic root of 30900 is about 31.3799918514.

It can be divided in two parts, 30 and 900, that multiplied together give a cube (27000 = 30³).

The spelling of 30900 in words is "thirty thousand, nine hundred".