264642100 has 72 divisors (see below), whose sum is σ = 588156800. Its totient is φ = 103334400.

The previous prime is 264642067. The next prime is 264642109. The reversal of 264642100 is 1246462.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264642109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1097980 + ... + 1098220.

Almost surely, 2^264642100 is an apocalyptic number.

264642100 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 264642100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294078400).

264642100 is an abundant number, since it is smaller than the sum of its proper divisors (323514700).

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

264642100 is a wasteful number, since it uses less digits than its factorization.

264642100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 264642100 is about 16267.8240708461. The cubic root of 264642100 is about 642.0265352658.

Adding to 264642100 its reverse (1246462), we get a palindrome (265888562).

The spelling of 264642100 in words is "two hundred sixty-four million, six hundred forty-two thousand, one hundred".