105565000 has 80 divisors (see below), whose sum is σ = 253606320. Its totient is φ = 41160000.

The previous prime is 105564997. The next prime is 105565039. The reversal of 105565000 is 565501.

105565000 = T₂₄₀ + T₂₄₁ + ... + T₈₆₄.

It is a super-3 number, since 3×105565000³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 214755 + ... + 215245.

It is an arithmetic number, because the mean of its divisors is an integer number (3170079).

Almost surely, 2^105565000 is an apocalyptic number.

105565000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105565000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126803160).

105565000 is an abundant number, since it is smaller than the sum of its proper divisors (148041320).

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

105565000 is an equidigital number, since it uses as much as digits as its factorization.

105565000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 105565000 is about 10274.4829553608. The cubic root of 105565000 is about 472.6140743393.

The spelling of 105565000 in words is "one hundred five million, five hundred sixty-five thousand".