6400123100 has 144 divisors (see below), whose sum is σ = 16865378880. Its totient is φ = 2061158400.

The previous prime is 6400123069. The next prime is 6400123123. The reversal of 6400123100 is 13210046.

It is a super-2 number, since 2×6400123100² = 81923151390307220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 746840 + ... + 755360.

Almost surely, 2^6400123100 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 6400123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432689440).

6400123100 is an abundant number, since it is smaller than the sum of its proper divisors (10465255780).

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

6400123100 is a wasteful number, since it uses less digits than its factorization.

6400123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8608 (or 8601 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 6400123100 is about 80000.7693713004. The cubic root of 6400123100 is about 1856.6474371102.

Adding to 6400123100 its reverse (13210046), we get a palindrome (6413333146).

The spelling of 6400123100 in words is "six billion, four hundred million, one hundred twenty-three thousand, one hundred".