105105510560 has 48 divisors (see below), whose sum is σ = 248352041952. Its totient is φ = 42035385600.

The previous prime is 105105510533. The next prime is 105105510569. The reversal of 105105510560 is 65015501501.

It is a happy number.

It is a super-2 number, since 2×105105510560² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105105510569) 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, 1001375 + ... + 1101345.

It is an arithmetic number, because the mean of its divisors is an integer number (5174000874).

Almost surely, 2^105105510560 is an apocalyptic number.

105105510560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105105510560 is an abundant number, since it is smaller than the sum of its proper divisors (143246531392).

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

105105510560 is an equidigital number, since it uses as much as digits as its factorization.

105105510560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106557 (or 106549 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 105105510560 in words is "one hundred five billion, one hundred five million, five hundred ten thousand, five hundred sixty".