10509180 has 48 divisors (see below), whose sum is σ = 32102784. Its totient is φ = 2547520.

The previous prime is 10509173. The next prime is 10509181. The reversal of 10509180 is 8190501.

10509180 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10509180² = 220885728544800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10509180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509181) 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, 7302 + ... + 8621.

It is an arithmetic number, because the mean of its divisors is an integer number (668808).

Almost surely, 2^10509180 is an apocalyptic number.

10509180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10509180 is an abundant number, since it is smaller than the sum of its proper divisors (21593604).

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

10509180 is a wasteful number, since it uses less digits than its factorization.

10509180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15946 (or 15944 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 10509180 is about 3241.7865444844. The cubic root of 10509180 is about 219.0397542560.

Subtracting from 10509180 its product of nonzero digits (360), we obtain a triangular number (10508820 = T₄₅₈₄).

Adding to 10509180 its reverse (8190501), we get a palindrome (18699681).

The spelling of 10509180 in words is "ten million, five hundred nine thousand, one hundred eighty".