10053936 has 120 divisors (see below), whose sum is σ = 31404240. Its totient is φ = 3068928.

The previous prime is 10053931. The next prime is 10053961. The reversal of 10053936 is 63935001.

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

It is not an unprimeable number, because it can be changed into a prime (10053931) 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, 271710 + ... + 271746.

It is an arithmetic number, because the mean of its divisors is an integer number (261702).

Almost surely, 2^10053936 is an apocalyptic number.

10053936 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 10053936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702120).

10053936 is an abundant number, since it is smaller than the sum of its proper divisors (21350304).

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

10053936 is a wasteful number, since it uses less digits than its factorization.

10053936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 10053936 is about 3170.7942222730. The cubic root of 10053936 is about 215.8301133306.

Adding to 10053936 its reverse (63935001), we get a palindrome (73988937).

The spelling of 10053936 in words is "ten million, fifty-three thousand, nine hundred thirty-six".