10153936 has 20 divisors (see below), whose sum is σ = 21187012. Its totient is φ = 4686336.

The previous prime is 10153933. The next prime is 10153951. The reversal of 10153936 is 63935101.

It can be written as a sum of positive squares in 2 ways, for example, as 2624400 + 7529536 = 1620^2 + 2744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153931) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24201 + ... + 24616.

Almost surely, 2^10153936 is an apocalyptic number.

10153936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10153936 is an abundant number, since it is smaller than the sum of its proper divisors (11033076).

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

10153936 is a wasteful number, since it uses less digits than its factorization.

10153936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48838 (or 48832 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 10153936 is about 3186.5241251244. The cubic root of 10153936 is about 216.5433280928.

The spelling of 10153936 in words is "ten million, one hundred fifty-three thousand, nine hundred thirty-six".