105505832526060 has 48 divisors (see below), whose sum is σ = 295424156597472. Its totient is φ = 28134143385600.

The previous prime is 105505832526047. The next prime is 105505832526071. The reversal of 105505832526060 is 60625238505501.

It is a super-2 number, since 2×105505832526060² (a number of 29 digits) contains 22 as substring.

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, 21004501 + ... + 25538220.

It is an arithmetic number, because the mean of its divisors is an integer number (6154669929114).

Almost surely, 2^{105505832526060} is an apocalyptic number.

105505832526060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505832526060 is an abundant number, since it is smaller than the sum of its proper divisors (189918324071412).

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

105505832526060 is a wasteful number, since it uses less digits than its factorization.

105505832526060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46580514 (or 46580512 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 105505832526060 in words is "one hundred five trillion, five hundred five billion, eight hundred thirty-two million, five hundred twenty-six thousand, sixty".