264345100 has 54 divisors (see below), whose sum is σ = 605443020. Its totient is φ = 99904320.

The previous prime is 264345097. The next prime is 264345101. The reversal of 264345100 is 1543462.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (264345101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 708514 + ... + 708886.

Almost surely, 2^264345100 is an apocalyptic number.

264345100 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 264345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302721510).

264345100 is an abundant number, since it is smaller than the sum of its proper divisors (341097920).

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

264345100 is a wasteful number, since it uses less digits than its factorization.

264345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 264345100 is about 16258.6930594067. The cubic root of 264345100 is about 641.7862695664.

Adding to 264345100 its reverse (1543462), we get a palindrome (265888562).

The spelling of 264345100 in words is "two hundred sixty-four million, three hundred forty-five thousand, one hundred".