10165104 has 60 divisors (see below), whose sum is σ = 28867696. Its totient is φ = 3338496.

The previous prime is 10165087. The next prime is 10165147. The reversal of 10165104 is 40156101.

10165104 is a `hidden beast` number, since 10 + 1 + 651 + 0 + 4 = 666.

10165104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10029 + ... + 10995.

Almost surely, 2^10165104 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 10165104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433848).

10165104 is an abundant number, since it is smaller than the sum of its proper divisors (18702592).

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

10165104 is a wasteful number, since it uses less digits than its factorization.

10165104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10165104 is about 3188.2760231824. The cubic root of 10165104 is about 216.6226887731.

The spelling of 10165104 in words is "ten million, one hundred sixty-five thousand, one hundred four".