10133856 has 96 divisors (see below), whose sum is σ = 30451680. Its totient is φ = 3276288.

The previous prime is 10133843. The next prime is 10133857. The reversal of 10133856 is 65833101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31810 + ... + 32126.

It is an arithmetic number, because the mean of its divisors is an integer number (317205).

Almost surely, 2^10133856 is an apocalyptic number.

10133856 is a gapful number since it is divisible by the number (16) 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 10133856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15225840).

10133856 is an abundant number, since it is smaller than the sum of its proper divisors (20317824).

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

10133856 is a wasteful number, since it uses less digits than its factorization.

10133856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10133856 is about 3183.3717973243. The cubic root of 10133856 is about 216.4004915466.

Adding to 10133856 its reverse (65833101), we get a palindrome (75966957).

The spelling of 10133856 in words is "ten million, one hundred thirty-three thousand, eight hundred fifty-six".