10677101031 has 24 divisors (see below), whose sum is σ = 15592436496. Its totient is φ = 7040056320.

The previous prime is 10677101027. The next prime is 10677101033. The reversal of 10677101031 is 13010177601.

It is not a de Polignac number, because 10677101031 - 2² = 10677101027 is a prime.

It is a super-2 number, since 2×10677101031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10677100986 and 10677101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10677101033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282736 + ... + 318266.

It is an arithmetic number, because the mean of its divisors is an integer number (649684854).

Almost surely, 2^10677101031 is an apocalyptic number.

10677101031 is a deficient number, since it is larger than the sum of its proper divisors (4915335465).

10677101031 is a wasteful number, since it uses less digits than its factorization.

10677101031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35903 (or 35900 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

Adding to 10677101031 its reverse (13010177601), we get a palindrome (23687278632).

The spelling of 10677101031 in words is "ten billion, six hundred seventy-seven million, one hundred one thousand, thirty-one".