264920100 has 72 divisors (see below), whose sum is σ = 772138080. Its totient is φ = 70126080.

The previous prime is 264920093. The next prime is 264920137. The reversal of 264920100 is 1029462.

264920100 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 23 ways as a sum of consecutive naturals, for example, 38524 + ... + 44876.

It is an arithmetic number, because the mean of its divisors is an integer number (10724140).

Almost surely, 2^264920100 is an apocalyptic number.

264920100 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 264920100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386069040).

264920100 is an abundant number, since it is smaller than the sum of its proper divisors (507217980).

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

264920100 is a wasteful number, since it uses less digits than its factorization.

264920100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 264920100 is about 16276.3663020958. The cubic root of 264920100 is about 642.2512676065.

Adding to 264920100 its reverse (1029462), we get a palindrome (265949562).

The spelling of 264920100 in words is "two hundred sixty-four million, nine hundred twenty thousand, one hundred".