105610560 has 224 divisors, whose sum is σ = 373514112. Its totient is φ = 25067520.

The previous prime is 105610553. The next prime is 105610567. The reversal of 105610560 is 65016501.

105610560 = T₅₆ + T₅₇ + ... + T₈₅₈.

It is an interprime number because it is at equal distance from previous prime (105610553) and next prime (105610567).

It is a super-2 number, since 2×105610560² = 22307180767027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105610560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105610567) 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 31 ways as a sum of consecutive naturals, for example, 770812 + ... + 770948.

Almost surely, 2^105610560 is an apocalyptic number.

105610560 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 105610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186757056).

105610560 is an abundant number, since it is smaller than the sum of its proper divisors (267903552).

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

105610560 is a wasteful number, since it uses less digits than its factorization.

105610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105610560 is about 10276.6998593907. The cubic root of 105610560 is about 472.6820552052.

The spelling of 105610560 in words is "one hundred five million, six hundred ten thousand, five hundred sixty".