105836280264 has 384 divisors, whose sum is σ = 350617438080. Its totient is φ = 29486592000.

The previous prime is 105836280233. The next prime is 105836280271. The reversal of 105836280264 is 462082638501.

105836280264 is a `hidden beast` number, since 1 + 0 + 583 + 6 + 2 + 8 + 0 + 2 + 64 = 666.

It is a super-2 number, since 2×105836280264² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 88122864 + ... + 88124064.

It is an arithmetic number, because the mean of its divisors is an integer number (913066245).

Almost surely, 2^105836280264 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 105836280264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175308719040).

105836280264 is an abundant number, since it is smaller than the sum of its proper divisors (244781157816).

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

105836280264 is a wasteful number, since it uses less digits than its factorization.

105836280264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 105836280264 in words is "one hundred five billion, eight hundred thirty-six million, two hundred eighty thousand, two hundred sixty-four".