105006060705 has 128 divisors (see below), whose sum is σ = 214179840000. Its totient is φ = 42728684544.

The previous prime is 105006060661. The next prime is 105006060713. The reversal of 105006060705 is 507060600501.

It is not a de Polignac number, because 105006060705 - 2⁸ = 105006060449 is a prime.

It is a super-2 number, since 2×105006060705² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52528296 + ... + 52530294.

It is an arithmetic number, because the mean of its divisors is an integer number (1673280000).

Almost surely, 2^105006060705 is an apocalyptic number.

105006060705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105006060705 is an abundant number, since it is smaller than the sum of its proper divisors (109173779295).

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

105006060705 is a wasteful number, since it uses less digits than its factorization.

105006060705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383.

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 105006060705 in words is "one hundred five billion, six million, sixty thousand, seven hundred five".