10165936 has 60 divisors (see below), whose sum is σ = 22264200. Its totient is φ = 4491520.

The previous prime is 10165933. The next prime is 10165937. The reversal of 10165936 is 63956101.

10165936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10165898 and 10165907.

It is not an unprimeable number, because it can be changed into a prime (10165933) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114180 + ... + 114268.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 2^10165936 is an apocalyptic number.

10165936 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 10165936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11132100).

10165936 is an abundant number, since it is smaller than the sum of its proper divisors (12098264).

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

10165936 is a wasteful number, since it uses less digits than its factorization.

10165936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 10165936 is about 3188.4064985506. The cubic root of 10165936 is about 216.6285987031.

The spelling of 10165936 in words is "ten million, one hundred sixty-five thousand, nine hundred thirty-six".