105802894848 has 480 divisors, whose sum is σ = 341961827328. Its totient is φ = 28952985600.

The previous prime is 105802894829. The next prime is 105802894861. The reversal of 105802894848 is 848498208501.

It is a super-2 number, since 2×105802894848² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319646043 + ... + 319646373.

Almost surely, 2^105802894848 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 105802894848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170980913664).

105802894848 is an abundant number, since it is smaller than the sum of its proper divisors (236158932480).

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

105802894848 is a wasteful number, since it uses less digits than its factorization.

105802894848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 57.

The spelling of 105802894848 in words is "one hundred five billion, eight hundred two million, eight hundred ninety-four thousand, eight hundred forty-eight".