10105760 has 72 divisors (see below), whose sum is σ = 27794340. Its totient is φ = 3462144.

The previous prime is 10105747. The next prime is 10105789. The reversal of 10105760 is 6750101.

It can be written as a sum of positive squares in 2 ways, for example, as 10010896 + 94864 = 3164^2 + 308^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7196 + ... + 8484.

Almost surely, 2^10105760 is an apocalyptic number.

10105760 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 10105760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13897170).

10105760 is an abundant number, since it is smaller than the sum of its proper divisors (17688580).

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

10105760 is a wasteful number, since it uses less digits than its factorization.

10105760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 10105760 is about 3178.9558034046. The cubic root of 10105760 is about 216.2003171417.

Adding to 10105760 its reverse (6750101), we get a palindrome (16855861).

The spelling of 10105760 in words is "ten million, one hundred five thousand, seven hundred sixty".