10202164 has 48 divisors (see below), whose sum is σ = 21790720. Its totient is φ = 4082400.

The previous prime is 10202119. The next prime is 10202177. The reversal of 10202164 is 46120201.

10202164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67489 + ... + 67639.

Almost surely, 2^10202164 is an apocalyptic number.

10202164 is a gapful number since it is divisible by the number (14) 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 10202164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10895360).

10202164 is an abundant number, since it is smaller than the sum of its proper divisors (11588556).

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

10202164 is a wasteful number, since it uses less digits than its factorization.

10202164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10202164 is about 3194.0826539086. The cubic root of 10202164 is about 216.8856242806.

Adding to 10202164 its reverse (46120201), we get a palindrome (56322365).

The spelling of 10202164 in words is "ten million, two hundred two thousand, one hundred sixty-four".