105605225260 has 24 divisors (see below), whose sum is σ = 225955333296. Its totient is φ = 41445069120.

The previous prime is 105605225251. The next prime is 105605225263. The reversal of 105605225260 is 62522506501.

105605225260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105605225260² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105605225263) 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, 49812726 + ... + 49814845.

It is an arithmetic number, because the mean of its divisors is an integer number (9414805554).

Almost surely, 2^105605225260 is an apocalyptic number.

105605225260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105605225260 is an abundant number, since it is smaller than the sum of its proper divisors (120350108036).

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

105605225260 is a wasteful number, since it uses less digits than its factorization.

105605225260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99627633 (or 99627631 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 105605225260 in words is "one hundred five billion, six hundred five million, two hundred twenty-five thousand, two hundred sixty".