105072071722012 has 48 divisors (see below), whose sum is σ = 192118092364800. Its totient is φ = 50222597518080.

The previous prime is 105072071722001. The next prime is 105072071722021. The reversal of 105072071722012 is 210227170270501.

It is a super-4 number, since 4×105072071722012⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83554164 + ... + 84802372.

It is an arithmetic number, because the mean of its divisors is an integer number (4002460257600).

Almost surely, 2^{105072071722012} is an apocalyptic number.

It is an amenable number.

105072071722012 is a deficient number, since it is larger than the sum of its proper divisors (87046020642788).

105072071722012 is a wasteful number, since it uses less digits than its factorization.

105072071722012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256506 (or 1256504 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 37.

The spelling of 105072071722012 in words is "one hundred five trillion, seventy-two billion, seventy-one million, seven hundred twenty-two thousand, twelve".