264101112 has 96 divisors (see below), whose sum is σ = 786240000. Its totient is φ = 79421760.

The previous prime is 264101099. The next prime is 264101113. The reversal of 264101112 is 211101462.

264101112 is a `hidden beast` number, since 2 + 641 + 0 + 11 + 12 = 666.

264101112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264101113) 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, 108889 + ... + 111287.

It is an arithmetic number, because the mean of its divisors is an integer number (8190000).

Almost surely, 2^264101112 is an apocalyptic number.

264101112 is a gapful number since it is divisible by the number (22) 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 264101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120000).

264101112 is an abundant number, since it is smaller than the sum of its proper divisors (522138888).

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

264101112 is a wasteful number, since it uses less digits than its factorization.

264101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 264101112 is about 16251.1880181112. The cubic root of 264101112 is about 641.5887545888.

Adding to 264101112 its reverse (211101462), we get a palindrome (475202574).

The spelling of 264101112 in words is "two hundred sixty-four million, one hundred one thousand, one hundred twelve".