2005125100 has 144 divisors (see below), whose sum is σ = 5032177920. Its totient is φ = 685843200.

The previous prime is 2005125077. The next prime is 2005125113. The reversal of 2005125100 is 15215002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4117057 + ... + 4117543.

It is an arithmetic number, because the mean of its divisors is an integer number (34945680).

Almost surely, 2^2005125100 is an apocalyptic number.

2005125100 is a gapful number since it is divisible by the number (20) 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 2005125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516088960).

2005125100 is an abundant number, since it is smaller than the sum of its proper divisors (3027052820).

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

2005125100 is a wasteful number, since it uses less digits than its factorization.

2005125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 2005125100 is about 44778.6232481527. The cubic root of 2005125100 is about 1260.9963354883.

The spelling of 2005125100 in words is "two billion, five million, one hundred twenty-five thousand, one hundred".