10700077106767 has 2 divisors, whose sum is σ = 10700077106768. Its totient is φ = 10700077106766.

The previous prime is 10700077106759. The next prime is 10700077106777. The reversal of 10700077106767 is 76760177000701.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10700077106767 - 2³ = 10700077106759 is a prime.

It is a super-3 number, since 3×10700077106767³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10700077106767.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10700077106737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5350038553383 + 5350038553384.

It is an arithmetic number, because the mean of its divisors is an integer number (5350038553384).

Almost surely, 2^{10700077106767} is an apocalyptic number.

10700077106767 is a deficient number, since it is larger than the sum of its proper divisors (1).

10700077106767 is an equidigital number, since it uses as much as digits as its factorization.

10700077106767 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 605052, while the sum is 49.

The spelling of 10700077106767 in words is "ten trillion, seven hundred billion, seventy-seven million, one hundred six thousand, seven hundred sixty-seven".