10506105056 has 24 divisors (see below), whose sum is σ = 20697060384. Its totient is φ = 5249708800.

The previous prime is 10506105023. The next prime is 10506105059. The reversal of 10506105056 is 65050160501.

It is a super-2 number, since 2×10506105056² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506105059) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53045 + ... + 154356.

It is an arithmetic number, because the mean of its divisors is an integer number (862377516).

Almost surely, 2^10506105056 is an apocalyptic number.

10506105056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10506105056 is a deficient number, since it is larger than the sum of its proper divisors (10190955328).

10506105056 is a wasteful number, since it uses less digits than its factorization.

10506105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208994 (or 208986 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

Adding to 10506105056 its reverse (65050160501), we get a palindrome (75556265557).

The spelling of 10506105056 in words is "ten billion, five hundred six million, one hundred five thousand, fifty-six".