106767767601 has 16 divisors (see below), whose sum is σ = 172553968320. Its totient is φ = 64707737760.

The previous prime is 106767767599. The next prime is 106767767677.

106767767601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 106767767601 - 2¹ = 106767767599 is a prime.

It is a super-2 number, since 2×106767767601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106767767681) 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, 179743420 + ... + 179744013.

It is an arithmetic number, because the mean of its divisors is an integer number (10784623020).

Almost surely, 2^106767767601 is an apocalyptic number.

106767767601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106767767601 is a deficient number, since it is larger than the sum of its proper divisors (65786200719).

106767767601 is a wasteful number, since it uses less digits than its factorization.

106767767601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359487453 (or 359487447 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 106767767601 in words is "one hundred six billion, seven hundred sixty-seven million, seven hundred sixty-seven thousand, six hundred one".