105008575336 has 64 divisors (see below), whose sum is σ = 235784908800. Its totient is φ = 42866755008.

The previous prime is 105008575333. The next prime is 105008575351. The reversal of 105008575336 is 633575800501.

It is a super-2 number, since 2×105008575336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105008575292 and 105008575301.

It is not an unprimeable number, because it can be changed into a prime (105008575333) 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, 137271 + ... + 478393.

It is an arithmetic number, because the mean of its divisors is an integer number (3684139200).

Almost surely, 2^105008575336 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 105008575336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117892454400).

105008575336 is an abundant number, since it is smaller than the sum of its proper divisors (130776333464).

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

105008575336 is a wasteful number, since it uses less digits than its factorization.

105008575336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341398 (or 341394 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 43.

The spelling of 105008575336 in words is "one hundred five billion, eight million, five hundred seventy-five thousand, three hundred thirty-six".