105821113644 has 36 divisors (see below), whose sum is σ = 267566624416. Its totient is φ = 35263898208.

The previous prime is 105821113597. The next prime is 105821113649. The reversal of 105821113644 is 446311128501.

105821113644 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 2 + 1 + 1 + 1 + 3 + 644 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105821113644² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105821113599 and 105821113608.

It is not an unprimeable number, because it can be changed into a prime (105821113649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276724 + ... + 536859.

Almost surely, 2^105821113644 is an apocalyptic number.

It is an amenable number.

105821113644 is an abundant number, since it is smaller than the sum of its proper divisors (161745510772).

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

105821113644 is a wasteful number, since it uses less digits than its factorization.

105821113644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817206 (or 817201 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 105821113644 in words is "one hundred five billion, eight hundred twenty-one million, one hundred thirteen thousand, six hundred forty-four".