10111516765 has 12 divisors (see below), whose sum is σ = 14114852316. Its totient is φ = 6933611328.

The previous prime is 10111516763. The next prime is 10111516771. The reversal of 10111516765 is 56761511101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8011861081 + 2099655684 = 89509^2 + 45822^2 .

It is not a de Polignac number, because 10111516765 - 2¹ = 10111516763 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10111516765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111516763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20635504 + ... + 20635993.

It is an arithmetic number, because the mean of its divisors is an integer number (1176237693).

Almost surely, 2^10111516765 is an apocalyptic number.

It is an amenable number.

10111516765 is a deficient number, since it is larger than the sum of its proper divisors (4003335551).

10111516765 is an equidigital number, since it uses as much as digits as its factorization.

10111516765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41271516 (or 41271509 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 34.

The spelling of 10111516765 in words is "ten billion, one hundred eleven million, five hundred sixteen thousand, seven hundred sixty-five".