2305106085051 has 48 divisors (see below), whose sum is σ = 4247725996800. Its totient is φ = 1169609837760.

The previous prime is 2305106084987. The next prime is 2305106085071. The reversal of 2305106085051 is 1505806015032.

It is a happy number.

2305106085051 is a `hidden beast` number, since 2 + 3 + 0 + 510 + 60 + 85 + 0 + 5 + 1 = 666.

It is not a de Polignac number, because 2305106085051 - 2⁶ = 2305106084987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2305106084997 and 2305106085015.

It is not an unprimeable number, because it can be changed into a prime (2305106085071) by changing a digit.

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, 38647776 + ... + 38707373.

It is an arithmetic number, because the mean of its divisors is an integer number (88494291600).

Almost surely, 2^{2305106085051} is an apocalyptic number.

2305106085051 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2305106085051 is a deficient number, since it is larger than the sum of its proper divisors (1942619911749).

2305106085051 is a wasteful number, since it uses less digits than its factorization.

2305106085051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77355216 (or 77355213 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 2305106085051 in words is "two trillion, three hundred five billion, one hundred six million, eighty-five thousand, fifty-one".