10107520 has 64 divisors (see below), whose sum is σ = 25612200. Its totient is φ = 3801088.

The previous prime is 10107509. The next prime is 10107523. The reversal of 10107520 is 2570101.

It can be written as a sum of positive squares in 4 ways, for example, as 6512704 + 3594816 = 2552^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10107494 and 10107503.

It is not an unprimeable number, because it can be changed into a prime (10107523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10416 + ... + 11344.

Almost surely, 2^10107520 is an apocalyptic number.

10107520 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 10107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806100).

10107520 is an abundant number, since it is smaller than the sum of its proper divisors (15504680).

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

10107520 is an equidigital number, since it uses as much as digits as its factorization.

10107520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 10107520 is about 3179.2326118106. The cubic root of 10107520 is about 216.2128674256.

Adding to 10107520 its reverse (2570101), we get a palindrome (12677621).

The spelling of 10107520 in words is "ten million, one hundred seven thousand, five hundred twenty".