10164300 has 72 divisors (see below), whose sum is σ = 31154256. Its totient is φ = 2549760.

The previous prime is 10164299. The next prime is 10164331. The reversal of 10164300 is 346101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10164300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4104 + ... + 6096.

It is an arithmetic number, because the mean of its divisors is an integer number (432698).

Almost surely, 2^10164300 is an apocalyptic number.

10164300 is a gapful number since it is divisible by the number (10) 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 10164300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15577128).

10164300 is an abundant number, since it is smaller than the sum of its proper divisors (20989956).

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

10164300 is a wasteful number, since it uses less digits than its factorization.

10164300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10164300 is about 3188.1499337390. The cubic root of 10164300 is about 216.6169774285.

The spelling of 10164300 in words is "ten million, one hundred sixty-four thousand, three hundred".