105884849941 has 8 divisors (see below), whose sum is σ = 120031409120. Its totient is φ = 92595658032.

The previous prime is 105884849891. The next prime is 105884849957. The reversal of 105884849941 is 149948488501.

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

It is a cyclic number.

It is not a de Polignac number, because 105884849941 - 2¹⁵ = 105884817173 is a prime.

It is a super-2 number, since 2×105884849941² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105884849941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105884849041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214341555 + ... + 214342048.

It is an arithmetic number, because the mean of its divisors is an integer number (15003926140).

Almost surely, 2^105884849941 is an apocalyptic number.

It is an amenable number.

105884849941 is a deficient number, since it is larger than the sum of its proper divisors (14146559179).

105884849941 is a wasteful number, since it uses less digits than its factorization.

105884849941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428683635.

The product of its (nonzero) digits is 13271040, while the sum is 61.

The spelling of 105884849941 in words is "one hundred five billion, eight hundred eighty-four million, eight hundred forty-nine thousand, nine hundred forty-one".