10506384705 has 32 divisors (see below), whose sum is σ = 17711456256. Its totient is φ = 5307724224.

The previous prime is 10506384673. The next prime is 10506384709. The reversal of 10506384705 is 50748360501.

It is not a de Polignac number, because 10506384705 - 2⁵ = 10506384673 is a prime.

It is a super-2 number, since 2×10506384705² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506384709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112297 + ... + 183366.

It is an arithmetic number, because the mean of its divisors is an integer number (553483008).

Almost surely, 2^10506384705 is an apocalyptic number.

10506384705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10506384705 is a deficient number, since it is larger than the sum of its proper divisors (7205071551).

10506384705 is a wasteful number, since it uses less digits than its factorization.

10506384705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295797.

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 10506384705 in words is "ten billion, five hundred six million, three hundred eighty-four thousand, seven hundred five".