106766671101 has 24 divisors (see below), whose sum is σ = 151988628960. Its totient is φ = 66481662240.

The previous prime is 106766671007. The next prime is 106766671171. The reversal of 106766671101 is 101176667601.

It is not a de Polignac number, because 106766671101 - 2²² = 106762476797 is a prime.

It is a super-2 number, since 2×106766671101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106766671171) 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, 101551 + ... + 473123.

It is an arithmetic number, because the mean of its divisors is an integer number (6332859540).

Almost surely, 2^106766671101 is an apocalyptic number.

It is an amenable number.

106766671101 is a deficient number, since it is larger than the sum of its proper divisors (45221957859).

106766671101 is an equidigital number, since it uses as much as digits as its factorization.

106766671101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371737 (or 371666 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 106766671101 in words is "one hundred six billion, seven hundred sixty-six million, six hundred seventy-one thousand, one hundred one".