106192000267 has 32 divisors (see below), whose sum is σ = 118025994240. Its totient is φ = 95113221120.

The previous prime is 106192000261. The next prime is 106192000273. The reversal of 106192000267 is 762000291601.

It is an interprime number because it is at equal distance from previous prime (106192000261) and next prime (106192000273).

It is not a de Polignac number, because 106192000267 - 2³ = 106192000259 is a prime.

It is a super-2 number, since 2×106192000267² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106192000261) 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 31 ways as a sum of consecutive naturals, for example, 10051734 + ... + 10062292.

It is an arithmetic number, because the mean of its divisors is an integer number (3688312320).

Almost surely, 2^106192000267 is an apocalyptic number.

106192000267 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106192000267 is a deficient number, since it is larger than the sum of its proper divisors (11833993973).

106192000267 is a wasteful number, since it uses less digits than its factorization.

106192000267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10971.

The product of its (nonzero) digits is 9072, while the sum is 34.

Adding to 106192000267 its reverse (762000291601), we get a palindrome (868192291868).

The spelling of 106192000267 in words is "one hundred six billion, one hundred ninety-two million, two hundred sixty-seven", and thus it is an aban number.