6123456100 has 144 divisors (see below), whose sum is σ = 14484572928. Its totient is φ = 2238146560.

The previous prime is 6123456091. The next prime is 6123456161. The reversal of 6123456100 is 16543216.

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, 13822479 + ... + 13822921.

It is an arithmetic number, because the mean of its divisors is an integer number (100587312).

Almost surely, 2^6123456100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6123456100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242286464).

6123456100 is an abundant number, since it is smaller than the sum of its proper divisors (8361116828).

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

6123456100 is a wasteful number, since it uses less digits than its factorization.

6123456100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 6123456100 is about 78252.5149755585. The cubic root of 6123456100 is about 1829.4991114240.

Adding to 6123456100 its reverse (16543216), we get a palindrome (6139999316).

The spelling of 6123456100 in words is "six billion, one hundred twenty-three million, four hundred fifty-six thousand, one hundred".