123314100 has 144 divisors (see below), whose sum is σ = 439221888. Its totient is φ = 26012160.

The previous prime is 123314083. The next prime is 123314171. The reversal of 123314100 is 1413321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123314100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25042 + ... + 29558.

It is an arithmetic number, because the mean of its divisors is an integer number (3050152).

Almost surely, 2^123314100 is an apocalyptic number.

123314100 is a gapful number since it is divisible by the number (10) 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 123314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219610944).

123314100 is an abundant number, since it is smaller than the sum of its proper divisors (315907788).

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

123314100 is a wasteful number, since it uses less digits than its factorization.

123314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 123314100 is about 11104.6881991346. The cubic root of 123314100 is about 497.7419511149.

Adding to 123314100 its reverse (1413321), we get a palindrome (124727421).

The spelling of 123314100 in words is "one hundred twenty-three million, three hundred fourteen thousand, one hundred".