105545782211 has 32 divisors (see below), whose sum is σ = 114608632320. Its totient is φ = 96870470400.

The previous prime is 105545782189. The next prime is 105545782229. The reversal of 105545782211 is 112287545501.

It is not a de Polignac number, because 105545782211 - 2¹⁴ = 105545765827 is a prime.

It is a super-2 number, since 2×105545782211² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (105545782411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128557181 + ... + 128558001.

It is an arithmetic number, because the mean of its divisors is an integer number (3581519760).

Almost surely, 2^105545782211 is an apocalyptic number.

105545782211 is a deficient number, since it is larger than the sum of its proper divisors (9062850109).

105545782211 is a wasteful number, since it uses less digits than its factorization.

105545782211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835.

The product of its (nonzero) digits is 112000, while the sum is 41.

The spelling of 105545782211 in words is "one hundred five billion, five hundred forty-five million, seven hundred eighty-two thousand, two hundred eleven".