10133916 has 72 divisors (see below), whose sum is σ = 27054720. Its totient is φ = 2942784.

The previous prime is 10133909. The next prime is 10133917. The reversal of 10133916 is 61933101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38401 + ... + 38663.

It is an arithmetic number, because the mean of its divisors is an integer number (375760).

Almost surely, 2^10133916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13527360).

10133916 is an abundant number, since it is smaller than the sum of its proper divisors (16920804).

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

10133916 is a wasteful number, since it uses less digits than its factorization.

10133916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 10133916 is about 3183.3812212803. The cubic root of 10133916 is about 216.4009186299.

The spelling of 10133916 in words is "ten million, one hundred thirty-three thousand, nine hundred sixteen".