10605100000511 has 16 divisors (see below), whose sum is σ = 10774772160768. Its totient is φ = 10436002752000.

The previous prime is 10605100000489. The next prime is 10605100000531. The reversal of 10605100000511 is 11500000150601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10605100000511 is a prime.

It is a super-2 number, since 2×10605100000511² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605100000531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143176436 + ... + 143250486.

It is an arithmetic number, because the mean of its divisors is an integer number (673423260048).

Almost surely, 2^{10605100000511} is an apocalyptic number.

10605100000511 is a deficient number, since it is larger than the sum of its proper divisors (169672160257).

10605100000511 is an equidigital number, since it uses as much as digits as its factorization.

10605100000511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77902.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 10605100000511 in words is "ten trillion, six hundred five billion, one hundred million, five hundred eleven", and thus it is an aban number.