10505006050506 has 32 divisors (see below), whose sum is σ = 22921478032896. Its totient is φ = 3183131718000.

The previous prime is 10505006050471. The next prime is 10505006050519. The reversal of 10505006050506 is 60505060050501.

It is a super-2 number, since 2×10505006050506² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4044100 + ... + 6112671.

It is an arithmetic number, because the mean of its divisors is an integer number (716296188528).

Almost surely, 2^{10505006050506} is an apocalyptic number.

10505006050506 is an abundant number, since it is smaller than the sum of its proper divisors (12416471982390).

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

10505006050506 is a wasteful number, since it uses less digits than its factorization.

10505006050506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10172458.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 10505006050506 in words is "ten trillion, five hundred five billion, six million, fifty thousand, five hundred six".