105116010506 has 8 divisors (see below), whose sum is σ = 169802786244. Its totient is φ = 48515081760.

The previous prime is 105116010497. The next prime is 105116010511. The reversal of 105116010506 is 605010611501.

It can be written as a sum of positive squares in 2 ways, for example, as 100137438025 + 4978572481 = 316445^2 + 70559^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105116010506² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26), and also a Moran number because the ratio is a prime number: 4042923481 = 105116010506 / (1 + 0 + 5 + 1 + 1 + 6 + 0 + 1 + 0 + 5 + 0 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2021461715 + ... + 2021461766.

Almost surely, 2^105116010506 is an apocalyptic number.

105116010506 is a deficient number, since it is larger than the sum of its proper divisors (64686775738).

105116010506 is a wasteful number, since it uses less digits than its factorization.

105116010506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042923496.

The product of its (nonzero) digits is 900, while the sum is 26.

It can be divided in two parts, 105 and 116010506, that added together give a palindrome (116010611).

The spelling of 105116010506 in words is "one hundred five billion, one hundred sixteen million, ten thousand, five hundred six".