10164210 has 64 divisors (see below), whose sum is σ = 28857600. Its totient is φ = 2241792.

The previous prime is 10164199. The next prime is 10164223. The reversal of 10164210 is 1246101.

It is a super-2 number, since 2×10164210² = 206622329848200, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10164210.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5256 + ... + 6924.

It is an arithmetic number, because the mean of its divisors is an integer number (450900).

Almost surely, 2^10164210 is an apocalyptic number.

10164210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14428800).

10164210 is an abundant number, since it is smaller than the sum of its proper divisors (18693390).

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

10164210 is a wasteful number, since it uses less digits than its factorization.

10164210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10164210 is about 3188.1358189387. The cubic root of 10164210 is about 216.6163380802.

The spelling of 10164210 in words is "ten million, one hundred sixty-four thousand, two hundred ten".