105565015560 has 64 divisors (see below), whose sum is σ = 318115284480. Its totient is φ = 28024427520.

The previous prime is 105565015559. The next prime is 105565015561. The reversal of 105565015560 is 65510565501.

It is an interprime number because it is at equal distance from previous prime (105565015559) and next prime (105565015561).

It is a super-2 number, since 2×105565015560² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105565015561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1945681 + ... + 1999200.

It is an arithmetic number, because the mean of its divisors is an integer number (4970551320).

Almost surely, 2^105565015560 is an apocalyptic number.

105565015560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105565015560 is an abundant number, since it is smaller than the sum of its proper divisors (212550268920).

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

105565015560 is a wasteful number, since it uses less digits than its factorization.

105565015560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945118 (or 3945114 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 105565015560 in words is "one hundred five billion, five hundred sixty-five million, fifteen thousand, five hundred sixty".