264100 has 36 divisors (see below), whose sum is σ = 607600. Its totient is φ = 99360.

The previous prime is 264091. The next prime is 264101. The reversal of 264100 is 1462.

264100 is nontrivially palindromic in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (264101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1831 + ... + 1969.

2²⁶⁴¹⁰⁰ is an apocalyptic number.

264100 is a gapful number since it is divisible by the number (20) 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 264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303800).

264100 is an abundant number, since it is smaller than the sum of its proper divisors (343500).

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

264100 is a wasteful number, since it uses less digits than its factorization.

264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 264100 is about 513.9066063012. The cubic root of 264100 is about 64.1587854116.

Adding to 264100 its reverse (1462), we get a palindrome (265562).

The spelling of 264100 in words is "two hundred sixty-four thousand, one hundred".