105026560 has 88 divisors (see below), whose sum is σ = 256300776. Its totient is φ = 41287680.

The previous prime is 105026531. The next prime is 105026591. The reversal of 105026560 is 65620501.

It can be written as a sum of positive squares in 4 ways, for example, as 19501056 + 85525504 = 4416^2 + 9248^2 .

It is a super-2 number, since 2×105026560² = 22061156610867200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373620 + ... + 373900.

Almost surely, 2^105026560 is an apocalyptic number.

105026560 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 105026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128150388).

105026560 is an abundant number, since it is smaller than the sum of its proper divisors (151274216).

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

105026560 is an equidigital number, since it uses as much as digits as its factorization.

105026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 105026560 is about 10248.2466793106. The cubic root of 105026560 is about 471.8091730756.

The spelling of 105026560 in words is "one hundred five million, twenty-six thousand, five hundred sixty".