106765211172 has 24 divisors (see below), whose sum is σ = 251020500192. Its totient is φ = 35316736000.

The previous prime is 106765211171. The next prime is 106765211221. The reversal of 106765211172 is 271112567601.

106765211172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106765211172² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106765211172.

It is not an unprimeable number, because it can be changed into a prime (106765211171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33956829 + ... + 33959972.

It is an arithmetic number, because the mean of its divisors is an integer number (10459187508).

Almost surely, 2^106765211172 is an apocalyptic number.

106765211172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106765211172 is an abundant number, since it is smaller than the sum of its proper divisors (144255289020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106765211172 is a wasteful number, since it uses less digits than its factorization.

106765211172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67916939 (or 67916937 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

Adding to 106765211172 its reverse (271112567601), we get a palindrome (377877778773).

The spelling of 106765211172 in words is "one hundred six billion, seven hundred sixty-five million, two hundred eleven thousand, one hundred seventy-two".