10133900 has 72 divisors (see below), whose sum is σ = 25998336. Its totient is φ = 3355200.

The previous prime is 10133867. The next prime is 10133909. The reversal of 10133900 is 933101.

It is not an unprimeable number, because it can be changed into a prime (10133909) 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, 21467 + ... + 21933.

It is an arithmetic number, because the mean of its divisors is an integer number (361088).

Almost surely, 2^10133900 is an apocalyptic number.

10133900 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 10133900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999168).

10133900 is an abundant number, since it is smaller than the sum of its proper divisors (15864436).

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

10133900 is a wasteful number, since it uses less digits than its factorization.

10133900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 10133900 is about 3183.3787082281. The cubic root of 10133900 is about 216.4008047412.

It can be divided in two parts, 1013 and 3900, that added together give a cube (4913 = 17³).

The spelling of 10133900 in words is "ten million, one hundred thirty-three thousand, nine hundred".