2105157600 has 1296 divisors, whose sum is σ = 10211252688. Its totient is φ = 418037760.

The previous prime is 2105157577. The next prime is 2105157601. The reversal of 2105157600 is 67515012.

2105157600 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 1 + 57 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105157601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 123832792 + ... + 123832808.

It is an arithmetic number, because the mean of its divisors is an integer number (7879053).

Almost surely, 2^2105157600 is an apocalyptic number.

2105157600 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 2105157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105626344).

2105157600 is an abundant number, since it is smaller than the sum of its proper divisors (8106095088).

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

2105157600 is a wasteful number, since it uses less digits than its factorization.

2105157600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 2105157600 is about 45881.9964692035. The cubic root of 2105157600 is about 1281.6266753695.

The spelling of 2105157600 in words is "two billion, one hundred five million, one hundred fifty-seven thousand, six hundred".