2305135100 has 72 divisors (see below), whose sum is σ = 5352001200. Its totient is φ = 859161600.

The previous prime is 2305135097. The next prime is 2305135123. The reversal of 2305135100 is 15315032.

2305135100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105956 + ... + 125844.

It is an arithmetic number, because the mean of its divisors is an integer number (74333350).

Almost surely, 2^2305135100 is an apocalyptic number.

2305135100 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 2305135100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676000600).

2305135100 is an abundant number, since it is smaller than the sum of its proper divisors (3046866100).

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

2305135100 is a wasteful number, since it uses less digits than its factorization.

2305135100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19983 (or 19976 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 2305135100 is about 48011.8225023796. The cubic root of 2305135100 is about 1320.9877631159.

The spelling of 2305135100 in words is "two billion, three hundred five million, one hundred thirty-five thousand, one hundred".