105880091317 has 48 divisors (see below), whose sum is σ = 143344446336. Its totient is φ = 76100745600.

The previous prime is 105880091311. The next prime is 105880091351. The reversal of 105880091317 is 713190088501.

It is not a de Polignac number, because 105880091317 - 2³ = 105880091309 is a prime.

It is a super-2 number, since 2×105880091317² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105880091311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19673967 + ... + 19679347.

It is an arithmetic number, because the mean of its divisors is an integer number (2986342632).

Almost surely, 2^105880091317 is an apocalyptic number.

It is an amenable number.

105880091317 is a deficient number, since it is larger than the sum of its proper divisors (37464355019).

105880091317 is a wasteful number, since it uses less digits than its factorization.

105880091317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7210 (or 7199 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 43.

The spelling of 105880091317 in words is "one hundred five billion, eight hundred eighty million, ninety-one thousand, three hundred seventeen".