10506656314 has 32 divisors (see below), whose sum is σ = 19792273536. Its totient is φ = 4063614720.

The previous prime is 10506656299. The next prime is 10506656317. The reversal of 10506656314 is 41365660501.

It is a super-2 number, since 2×10506656314² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506656317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227899 + ... + 270094.

It is an arithmetic number, because the mean of its divisors is an integer number (618508548).

Almost surely, 2^10506656314 is an apocalyptic number.

10506656314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10506656314 is a deficient number, since it is larger than the sum of its proper divisors (9285617222).

10506656314 is a wasteful number, since it uses less digits than its factorization.

10506656314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498150.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 10506656314 in words is "ten billion, five hundred six million, six hundred fifty-six thousand, three hundred fourteen".