105085744880 has 80 divisors (see below), whose sum is σ = 248748364800. Its totient is φ = 41274804480.

The previous prime is 105085744877. The next prime is 105085744891. The reversal of 105085744880 is 88447580501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105085744880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4287701 + ... + 4312139.

It is an arithmetic number, because the mean of its divisors is an integer number (3109354560).

Almost surely, 2^105085744880 is an apocalyptic number.

105085744880 is a gapful number since it is divisible by the number (10) 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 105085744880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124374182400).

105085744880 is an abundant number, since it is smaller than the sum of its proper divisors (143662619920).

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

105085744880 is a wasteful number, since it uses less digits than its factorization.

105085744880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25422 (or 25416 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 50.

The spelling of 105085744880 in words is "one hundred five billion, eighty-five million, seven hundred forty-four thousand, eight hundred eighty".