6128607100 has 144 divisors (see below), whose sum is σ = 17556376320. Its totient is φ = 1797811200.

The previous prime is 6128607053. The next prime is 6128607101. The reversal of 6128607100 is 17068216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6128607101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107491 + ... + 154309.

It is an arithmetic number, because the mean of its divisors is an integer number (121919280).

Almost surely, 2^6128607100 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 6128607100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778188160).

6128607100 is an abundant number, since it is smaller than the sum of its proper divisors (11427769220).

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

6128607100 is a wasteful number, since it uses less digits than its factorization.

6128607100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46868 (or 46861 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 6128607100 is about 78285.4207371973. The cubic root of 6128607100 is about 1830.0119540959.

The spelling of 6128607100 in words is "six billion, one hundred twenty-eight million, six hundred seven thousand, one hundred".