105505350636 has 96 divisors (see below), whose sum is σ = 283716905472. Its totient is φ = 29890897920.

The previous prime is 105505350623. The next prime is 105505350647. The reversal of 105505350636 is 636053505501.

It is a super-2 number, since 2×105505350636² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105505350594 and 105505350603.

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, 18010620 + ... + 18016476.

It is an arithmetic number, because the mean of its divisors is an integer number (2955384432).

Almost surely, 2^105505350636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105505350636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141858452736).

105505350636 is an abundant number, since it is smaller than the sum of its proper divisors (178211554836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105505350636 is a wasteful number, since it uses less digits than its factorization.

105505350636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 39.

The spelling of 105505350636 in words is "one hundred five billion, five hundred five million, three hundred fifty thousand, six hundred thirty-six".