10287640117 has 16 divisors (see below), whose sum is σ = 11542089600. Its totient is φ = 9112089600.

The previous prime is 10287640109. The next prime is 10287640133. The reversal of 10287640117 is 71104678201.

10287640117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10287640117 - 2³ = 10287640109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287640157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56692 + ... + 154237.

It is an arithmetic number, because the mean of its divisors is an integer number (721380600).

Almost surely, 2^10287640117 is an apocalyptic number.

10287640117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10287640117 is a deficient number, since it is larger than the sum of its proper divisors (1254449483).

10287640117 is a wasteful number, since it uses less digits than its factorization.

10287640117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211116.

The product of its (nonzero) digits is 18816, while the sum is 37.

The spelling of 10287640117 in words is "ten billion, two hundred eighty-seven million, six hundred forty thousand, one hundred seventeen".