123000100 has 36 divisors (see below), whose sum is σ = 282614724. Its totient is φ = 46305280.

The previous prime is 123000037. The next prime is 123000133. The reversal of 123000100 is 1000321.

It can be written as a sum of positive squares in 6 ways, for example, as 11655396 + 111344704 = 3414^2 + 10552^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34477 + ... + 37876.

It is an arithmetic number, because the mean of its divisors is an integer number (7850409).

Almost surely, 2^123000100 is an apocalyptic number.

123000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123000100 is an abundant number, since it is smaller than the sum of its proper divisors (159614624).

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

123000100 is a wasteful number, since it uses less digits than its factorization.

123000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72384 (or 72377 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 123000100 is about 11090.5410147567. The cubic root of 123000100 is about 497.3191181016.

Adding to 123000100 its reverse (1000321), we get a palindrome (124000421).

The spelling of 123000100 in words is "one hundred twenty-three million, one hundred", and thus it is an aban number.