123396100 has 36 divisors (see below), whose sum is σ = 271013904. Its totient is φ = 48760480.

The previous prime is 123396067. The next prime is 123396139. The reversal of 123396100 is 1693321.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 867 + ... + 15733.

It is an arithmetic number, because the mean of its divisors is an integer number (7528164).

Almost surely, 2^123396100 is an apocalyptic number.

123396100 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 123396100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135506952).

123396100 is an abundant number, since it is smaller than the sum of its proper divisors (147617804).

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

123396100 is a wasteful number, since it uses less digits than its factorization.

123396100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14964 (or 14957 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 123396100 is about 11108.3797198331. The cubic root of 123396100 is about 497.8522542526.

The spelling of 123396100 in words is "one hundred twenty-three million, three hundred ninety-six thousand, one hundred".