105006010105 has 16 divisors (see below), whose sum is σ = 128949289920. Its totient is φ = 82043777088.

The previous prime is 105006010093. The next prime is 105006010171. The reversal of 105006010105 is 501010600501.

It is not a de Polignac number, because 105006010105 - 2⁹ = 105006009593 is a prime.

It is a super-2 number, since 2×105006010105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4561354 + ... + 4584316.

It is an arithmetic number, because the mean of its divisors is an integer number (8059330620).

Almost surely, 2^105006010105 is an apocalyptic number.

It is an amenable number.

105006010105 is a deficient number, since it is larger than the sum of its proper divisors (23943279815).

105006010105 is a wasteful number, since it uses less digits than its factorization.

105006010105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44280.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 105006010105 its reverse (501010600501), we get a palindrome (606016610606).

The spelling of 105006010105 in words is "one hundred five billion, six million, ten thousand, one hundred five".