105333809581 has 16 divisors (see below), whose sum is σ = 141427214208. Its totient is φ = 75764577600.

The previous prime is 105333809561. The next prime is 105333809621. The reversal of 105333809581 is 185908333501.

It is a cyclic number.

It is not a de Polignac number, because 105333809581 - 2⁷ = 105333809453 is a prime.

It is a super-2 number, since 2×105333809581² (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 (105333809561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52613290 + ... + 52615291.

It is an arithmetic number, because the mean of its divisors is an integer number (8839200888).

Almost surely, 2^105333809581 is an apocalyptic number.

105333809581 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105333809581 is a deficient number, since it is larger than the sum of its proper divisors (36093404627).

105333809581 is a wasteful number, since it uses less digits than its factorization.

105333809581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105228612.

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 105333809581 in words is "one hundred five billion, three hundred thirty-three million, eight hundred nine thousand, five hundred eighty-one".