106770630767 has 16 divisors (see below), whose sum is σ = 107961984000. Its totient is φ = 105587808480.

The previous prime is 106770630721. The next prime is 106770630779. The reversal of 106770630767 is 767036077601.

It is a cyclic number.

It is not a de Polignac number, because 106770630767 - 2¹⁴ = 106770614383 is a prime.

It is a super-2 number, since 2×106770630767² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106770630787) 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, 24996842 + ... + 25001112.

It is an arithmetic number, because the mean of its divisors is an integer number (6747624000).

Almost surely, 2^106770630767 is an apocalyptic number.

106770630767 is a deficient number, since it is larger than the sum of its proper divisors (1191353233).

106770630767 is a wasteful number, since it uses less digits than its factorization.

106770630767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206.

The product of its (nonzero) digits is 1555848, while the sum is 50.

The spelling of 106770630767 in words is "one hundred six billion, seven hundred seventy million, six hundred thirty thousand, seven hundred sixty-seven".