10105560 has 80 divisors (see below), whose sum is σ = 33976800. Its totient is φ = 2693952.

The previous prime is 10105553. The next prime is 10105567. The reversal of 10105560 is 6550101.

10105560 is a `hidden beast` number, since 1 + 0 + 105 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (10105553) and next prime (10105567).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1681 + ... + 4799.

It is an arithmetic number, because the mean of its divisors is an integer number (424710).

Almost surely, 2^10105560 is an apocalyptic number.

10105560 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 10105560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988400).

10105560 is an abundant number, since it is smaller than the sum of its proper divisors (23871240).

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

10105560 is a wasteful number, since it uses less digits than its factorization.

10105560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10105560 is about 3178.9243463788. The cubic root of 10105560 is about 216.1988908809.

Adding to 10105560 its reverse (6550101), we get a palindrome (16655661).

It can be divided in two parts, 10 and 105560, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 10105560 in words is "ten million, one hundred five thousand, five hundred sixty".