10500580 has 12 divisors (see below), whose sum is σ = 22051260. Its totient is φ = 4200224.

The previous prime is 10500571. The next prime is 10500587. The reversal of 10500580 is 8500501.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 7431076 = 1752^2 + 2726^2 .

It is a super-2 number, since 2×10500580² = 220524360672800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10500587) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262495 + ... + 262534.

It is an arithmetic number, because the mean of its divisors is an integer number (1837605).

Almost surely, 2^10500580 is an apocalyptic number.

10500580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500580 is an abundant number, since it is smaller than the sum of its proper divisors (11550680).

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

10500580 is a wasteful number, since it uses less digits than its factorization.

10500580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525038 (or 525036 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 10500580 is about 3240.4598439110. The cubic root of 10500580 is about 218.9799888584.

The spelling of 10500580 in words is "ten million, five hundred thousand, five hundred eighty".