10168164 has 54 divisors (see below), whose sum is σ = 26650806. Its totient is φ = 3266880.

The previous prime is 10168153. The next prime is 10168177. The reversal of 10168164 is 46186101.

10168164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6200100 + 3968064 = 2490^2 + 1992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122467 + ... + 122549.

Almost surely, 2^10168164 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 10168164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13325403).

10168164 is an abundant number, since it is smaller than the sum of its proper divisors (16482642).

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

10168164 is a wasteful number, since it uses less digits than its factorization.

10168164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10168164 is about 3188.7558702416. The cubic root of 10168164 is about 216.6444232261.

It can be divided in two parts, 1016 and 8164, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 10168164 in words is "ten million, one hundred sixty-eight thousand, one hundred sixty-four".