105505011087 has 64 divisors (see below), whose sum is σ = 166944374784. Its totient is φ = 58020600960.

The previous prime is 105505011071. The next prime is 105505011121. The reversal of 105505011087 is 780110505501.

It is not a de Polignac number, because 105505011087 - 2⁴ = 105505011071 is a prime.

It is a super-2 number, since 2×105505011087² (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 (105505011047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18451753 + ... + 18457469.

It is an arithmetic number, because the mean of its divisors is an integer number (2608505856).

Almost surely, 2^105505011087 is an apocalyptic number.

105505011087 is a deficient number, since it is larger than the sum of its proper divisors (61439363697).

105505011087 is a wasteful number, since it uses less digits than its factorization.

105505011087 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6068.

The product of its (nonzero) digits is 7000, while the sum is 33.

Adding to 105505011087 its reverse (780110505501), we get a palindrome (885615516588).

The spelling of 105505011087 in words is "one hundred five billion, five hundred five million, eleven thousand, eighty-seven".