105191787071 has 8 divisors (see below), whose sum is σ = 121136889984. Its totient is φ = 89476110360.

The previous prime is 105191787049. The next prime is 105191787073. The reversal of 105191787071 is 170787191501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105191787071 - 2¹⁰ = 105191786047 is a prime.

It is a super-2 number, since 2×105191787071² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105191787073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57355565 + ... + 57357398.

It is an arithmetic number, because the mean of its divisors is an integer number (15142111248).

Almost surely, 2^105191787071 is an apocalyptic number.

105191787071 is a deficient number, since it is larger than the sum of its proper divisors (15945102913).

105191787071 is a wasteful number, since it uses less digits than its factorization.

105191787071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114713101.

The product of its (nonzero) digits is 123480, while the sum is 47.

The spelling of 105191787071 in words is "one hundred five billion, one hundred ninety-one million, seven hundred eighty-seven thousand, seventy-one".