105085278580 has 24 divisors (see below), whose sum is σ = 220689118440. Its totient is φ = 42032200320.

The previous prime is 105085278553. The next prime is 105085278581. The reversal of 105085278580 is 85872580501.

It can be written as a sum of positive squares in 4 ways, for example, as 46577409124 + 58507869456 = 215818^2 + 241884^2 .

It is a super-2 number, since 2×105085278580² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105085278581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382990 + ... + 597370.

It is an arithmetic number, because the mean of its divisors is an integer number (9195379935).

Almost surely, 2^105085278580 is an apocalyptic number.

105085278580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105085278580 is an abundant number, since it is smaller than the sum of its proper divisors (115603839860).

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

105085278580 is a wasteful number, since it uses less digits than its factorization.

105085278580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238899 (or 238897 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 49.

The spelling of 105085278580 in words is "one hundred five billion, eighty-five million, two hundred seventy-eight thousand, five hundred eighty".