10132164 has 72 divisors (see below), whose sum is σ = 30238208. Its totient is φ = 2799360.

The previous prime is 10132163. The next prime is 10132193. The reversal of 10132164 is 46123101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10132163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7164 + ... + 8460.

Almost surely, 2^10132164 is an apocalyptic number.

10132164 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 10132164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119104).

10132164 is an abundant number, since it is smaller than the sum of its proper divisors (20106044).

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

10132164 is a wasteful number, since it uses less digits than its factorization.

10132164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10132164 is about 3183.1060302792. The cubic root of 10132164 is about 216.3884471016.

Adding to 10132164 its reverse (46123101), we get a palindrome (56255265).

It can be divided in two parts, 10132 and 164, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 10132164 in words is "ten million, one hundred thirty-two thousand, one hundred sixty-four".