105007567172 has 24 divisors (see below), whose sum is σ = 199831575384. Its totient is φ = 48079775232.

The previous prime is 105007567157. The next prime is 105007567199. The reversal of 105007567172 is 271765700501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58741277956 + 46266289216 = 242366^2 + 215096^2 .

It is a super-2 number, since 2×105007567172² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20865443 + ... + 20870474.

It is an arithmetic number, because the mean of its divisors is an integer number (8326315641).

Almost surely, 2^105007567172 is an apocalyptic number.

It is an amenable number.

105007567172 is a deficient number, since it is larger than the sum of its proper divisors (94824008212).

105007567172 is a wasteful number, since it uses less digits than its factorization.

105007567172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41735975 (or 41735973 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 41.

The spelling of 105007567172 in words is "one hundred five billion, seven million, five hundred sixty-seven thousand, one hundred seventy-two".