10802180 has 36 divisors (see below), whose sum is σ = 23736972. Its totient is φ = 4128960.

The previous prime is 10802161. The next prime is 10802189. The reversal of 10802180 is 8120801.

It can be written as a sum of positive squares in 2 ways, for example, as 5080516 + 5721664 = 2254^2 + 2392^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10802189) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10070 + ... + 11090.

Almost surely, 2^10802180 is an apocalyptic number.

10802180 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 10802180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11868486).

10802180 is an abundant number, since it is smaller than the sum of its proper divisors (12934792).

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

10802180 is a wasteful number, since it uses less digits than its factorization.

10802180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 10802180 is about 3286.6670047329. The cubic root of 10802180 is about 221.0567614895.

Adding to 10802180 its reverse (8120801), we get a palindrome (18922981).

The spelling of 10802180 in words is "ten million, eight hundred two thousand, one hundred eighty".