105836008824 has 192 divisors, whose sum is σ = 355911192000. Its totient is φ = 27665584128.

The previous prime is 105836008819. The next prime is 105836008853. The reversal of 105836008824 is 428800638501.

105836008824 is a `hidden beast` number, since 1 + 0 + 583 + 60 + 0 + 8 + 8 + 2 + 4 = 666.

It is a super-2 number, since 2×105836008824² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105836008824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 668902 + ... + 811850.

It is an arithmetic number, because the mean of its divisors is an integer number (1853704125).

Almost surely, 2^105836008824 is an apocalyptic number.

105836008824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105836008824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177955596000).

105836008824 is an abundant number, since it is smaller than the sum of its proper divisors (250075183176).

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

105836008824 is a wasteful number, since it uses less digits than its factorization.

105836008824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143094 (or 143087 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 105836008824 in words is "one hundred five billion, eight hundred thirty-six million, eight thousand, eight hundred twenty-four".