105043191052672 has 128 divisors (see below), whose sum is σ = 211907741760000. Its totient is φ = 51862872883200.

The previous prime is 105043191052661. The next prime is 105043191052699. The reversal of 105043191052672 is 276250191340501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105043191052672² (a number of 29 digits) contains 22 as substring.

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, 14838701229 + ... + 14838708307.

It is an arithmetic number, because the mean of its divisors is an integer number (1655529232500).

Almost surely, 2^{105043191052672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105043191052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105953870880000).

105043191052672 is an abundant number, since it is smaller than the sum of its proper divisors (106864550707328).

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

105043191052672 is a wasteful number, since it uses less digits than its factorization.

105043191052672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11712 (or 11700 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 105043191052672 in words is "one hundred five trillion, forty-three billion, one hundred ninety-one million, fifty-two thousand, six hundred seventy-two".