10607100771 has 16 divisors (see below), whose sum is σ = 14846469120. Its totient is φ = 6727299360.

The previous prime is 10607100767. The next prime is 10607100773. The reversal of 10607100771 is 17700170601.

10607100771 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10607100771 - 2² = 10607100767 is a prime.

It is a super-3 number, since 3×10607100771³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10607100773) 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, 961080 + ... + 972053.

It is an arithmetic number, because the mean of its divisors is an integer number (927904320).

Almost surely, 2^10607100771 is an apocalyptic number.

10607100771 is a deficient number, since it is larger than the sum of its proper divisors (4239368349).

10607100771 is a wasteful number, since it uses less digits than its factorization.

10607100771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933226.

The product of its (nonzero) digits is 2058, while the sum is 30.

The spelling of 10607100771 in words is "ten billion, six hundred seven million, one hundred thousand, seven hundred seventy-one".