2100005061 has 64 divisors (see below), whose sum is σ = 3640412160. Its totient is φ = 1045175040.

The previous prime is 2100005051. The next prime is 2100005111. The reversal of 2100005061 is 1605000012.

2100005061 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2100005061 - 2⁶ = 2100004997 is a prime.

It is a super-2 number, since 2×2100005061² = 8820042512451227442, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2100005061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100005021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 524455 + ... + 528443.

It is an arithmetic number, because the mean of its divisors is an integer number (56881440).

Almost surely, 2^2100005061 is an apocalyptic number.

2100005061 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2100005061 is a deficient number, since it is larger than the sum of its proper divisors (1540407099).

2100005061 is a wasteful number, since it uses less digits than its factorization.

2100005061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2100005061 is about 45825.8121695623. The cubic root of 2100005061 is about 1280.5801937186.

Adding to 2100005061 its reverse (1605000012), we get a palindrome (3705005073).

The spelling of 2100005061 in words is "two billion, one hundred million, five thousand, sixty-one".