123264100 has 36 divisors (see below), whose sum is σ = 268084404. Its totient is φ = 49194880.

The previous prime is 123264049. The next prime is 123264109. The reversal of 123264100 is 1462321.

123264100 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 142884 + 123121216 = 378^2 + 11096^2 .

123264100 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (123264109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54594 + ... + 56806.

It is an arithmetic number, because the mean of its divisors is an integer number (7446789).

Almost surely, 2^123264100 is an apocalyptic number.

123264100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123264100 is an abundant number, since it is smaller than the sum of its proper divisors (144820304).

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

123264100 is a wasteful number, since it uses less digits than its factorization.

123264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 123264100 is about 11102.4366694884. The cubic root of 123264100 is about 497.6746691037.

The spelling of 123264100 in words is "one hundred twenty-three million, two hundred sixty-four thousand, one hundred".