10107410560 has 128 divisors (see below), whose sum is σ = 26073880560. Its totient is φ = 3724492800.

The previous prime is 10107410549. The next prime is 10107410561. The reversal of 10107410560 is 6501470101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4133975616 + 5973434944 = 64296^2 + 77288^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (10107410561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5831454 + ... + 5833186.

Almost surely, 2^10107410560 is an apocalyptic number.

10107410560 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 10107410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036940280).

10107410560 is an abundant number, since it is smaller than the sum of its proper divisors (15966470000).

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

10107410560 is a wasteful number, since it uses less digits than its factorization.

10107410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

Adding to 10107410560 its reverse (6501470101), we get a palindrome (16608880661).

The spelling of 10107410560 in words is "ten billion, one hundred seven million, four hundred ten thousand, five hundred sixty".