10510480 has 20 divisors (see below), whose sum is σ = 24437052. Its totient is φ = 4204160.

The previous prime is 10510463. The next prime is 10510501. The reversal of 10510480 is 8401501.

It can be written as a sum of positive squares in 2 ways, for example, as 7139584 + 3370896 = 2672^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10510480² = 220940379660800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65611 + ... + 65770.

Almost surely, 2^10510480 is an apocalyptic number.

10510480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10510480 is an abundant number, since it is smaller than the sum of its proper divisors (13926572).

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

10510480 is a wasteful number, since it uses less digits than its factorization.

10510480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131394 (or 131388 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 10510480 is about 3241.9870450080. The cubic root of 10510480 is about 219.0487857231.

Adding to 10510480 its reverse (8401501), we get a palindrome (18911981).

It can be divided in two parts, 105 and 10480, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 10510480 in words is "ten million, five hundred ten thousand, four hundred eighty".