123340100 has 72 divisors (see below), whose sum is σ = 305246088. Its totient is φ = 42854400.

The previous prime is 123340081. The next prime is 123340111. The reversal of 123340100 is 1043321.

It can be written as a sum of positive squares in 12 ways, for example, as 48413764 + 74926336 = 6958^2 + 8656^2 .

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 23 ways as a sum of consecutive naturals, for example, 19310 + ... + 24890.

It is an arithmetic number, because the mean of its divisors is an integer number (4239529).

Almost surely, 2^123340100 is an apocalyptic number.

123340100 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 123340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152623044).

123340100 is an abundant number, since it is smaller than the sum of its proper divisors (181905988).

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

123340100 is a wasteful number, since it uses less digits than its factorization.

123340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 123340100 is about 11105.8588141575. The cubic root of 123340100 is about 497.7769305733.

Adding to 123340100 its reverse (1043321), we get a palindrome (124383421).

The spelling of 123340100 in words is "one hundred twenty-three million, three hundred forty thousand, one hundred".