105605067172 has 24 divisors (see below), whose sum is σ = 201826769760. Its totient is φ = 47950613760.

The previous prime is 105605067167. The next prime is 105605067173. The reversal of 105605067172 is 271760506501.

It is a happy number.

It is a super-2 number, since 2×105605067172² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105605067173) 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 7 ways as a sum of consecutive naturals, for example, 1250898 + ... + 1332649.

It is an arithmetic number, because the mean of its divisors is an integer number (8409448740).

Almost surely, 2^105605067172 is an apocalyptic number.

It is an amenable number.

105605067172 is a deficient number, since it is larger than the sum of its proper divisors (96221702588).

105605067172 is a wasteful number, since it uses less digits than its factorization.

105605067172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584491 (or 2584489 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The spelling of 105605067172 in words is "one hundred five billion, six hundred five million, sixty-seven thousand, one hundred seventy-two".