105060010506 has 64 divisors (see below), whose sum is σ = 245062112256. Its totient is φ = 29672697600.

The previous prime is 105060010481. The next prime is 105060010513. The reversal of 105060010506 is 605010060501.

It is a super-2 number, since 2×105060010506² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338980 + ... + 570111.

It is an arithmetic number, because the mean of its divisors is an integer number (3829095504).

Almost surely, 2^105060010506 is an apocalyptic number.

105060010506 is an abundant number, since it is smaller than the sum of its proper divisors (140002101750).

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

105060010506 is a wasteful number, since it uses less digits than its factorization.

105060010506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909227.

The product of its (nonzero) digits is 900, while the sum is 24.

It can be divided in two parts, 1050600 and 10506, that multiplied together give a square (11037603600 = 105060²).

The spelling of 105060010506 in words is "one hundred five billion, sixty million, ten thousand, five hundred six".