105506110635 has 32 divisors (see below), whose sum is σ = 170385735168. Its totient is φ = 55745088000.

The previous prime is 105506110607. The next prime is 105506110643. The reversal of 105506110635 is 536011605501.

It is not a de Polignac number, because 105506110635 - 2¹² = 105506106539 is a prime.

It is a super-3 number, since 3×105506110635³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105506110596 and 105506110605.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3788010 + ... + 3815760.

It is an arithmetic number, because the mean of its divisors is an integer number (5324554224).

Almost surely, 2^105506110635 is an apocalyptic number.

105506110635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105506110635 is a deficient number, since it is larger than the sum of its proper divisors (64879624533).

105506110635 is a wasteful number, since it uses less digits than its factorization.

105506110635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30115.

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 105506110635 in words is "one hundred five billion, five hundred six million, one hundred ten thousand, six hundred thirty-five".