105366353436 has 36 divisors (see below), whose sum is σ = 266359379832. Its totient is φ = 35119921824.

The previous prime is 105366353401. The next prime is 105366353509. The reversal of 105366353436 is 634353663501.

105366353436 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 6 + 635 + 3 + 4 + 3 + 6 = 666.

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

It is a super-2 number, since 2×105366353436² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105366353391 and 105366353400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 554806 + ... + 720098.

It is an arithmetic number, because the mean of its divisors is an integer number (7398871662).

Almost surely, 2^105366353436 is an apocalyptic number.

It is an amenable number.

105366353436 is an abundant number, since it is smaller than the sum of its proper divisors (160993026396).

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

105366353436 is a wasteful number, since it uses less digits than its factorization.

105366353436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183010 (or 183005 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 105366353436 in words is "one hundred five billion, three hundred sixty-six million, three hundred fifty-three thousand, four hundred thirty-six".