10605077135 has 32 divisors (see below), whose sum is σ = 13448514240. Its totient is φ = 8015874048.

The previous prime is 10605077123. The next prime is 10605077137. The reversal of 10605077135 is 53177050601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10605077135 is a prime.

It is a super-2 number, since 2×10605077135² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10605077095 and 10605077104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605077137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3326012 + ... + 3329198.

It is an arithmetic number, because the mean of its divisors is an integer number (420266070).

Almost surely, 2^10605077135 is an apocalyptic number.

10605077135 is a deficient number, since it is larger than the sum of its proper divisors (2843437105).

10605077135 is a wasteful number, since it uses less digits than its factorization.

10605077135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707.

The product of its (nonzero) digits is 22050, while the sum is 35.

The spelling of 10605077135 in words is "ten billion, six hundred five million, seventy-seven thousand, one hundred thirty-five".