10180820 has 24 divisors (see below), whose sum is σ = 23024904. Its totient is φ = 3758976.

The previous prime is 10180813. The next prime is 10180831. The reversal of 10180820 is 2808101.

10180820 is nontrivially palindromic in base 3.

10180820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1012036 + 9168784 = 1006^2 + 3028^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10180792 and 10180801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19319 + ... + 19838.

It is an arithmetic number, because the mean of its divisors is an integer number (959371).

Almost surely, 2^10180820 is an apocalyptic number.

10180820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10180820 is an abundant number, since it is smaller than the sum of its proper divisors (12844084).

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

10180820 is a wasteful number, since it uses less digits than its factorization.

10180820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39179 (or 39177 counting only the distinct ones).

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

The square root of 10180820 is about 3190.7397261450. The cubic root of 10180820 is about 216.7342695031.

Adding to 10180820 its reverse (2808101), we get a palindrome (12988921).

It can be divided in two parts, 101 and 80820, that multiplied together give a triangular number (8162820 = T₄₀₄₀).

The spelling of 10180820 in words is "ten million, one hundred eighty thousand, eight hundred twenty".