10209180 has 48 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 2562048.

The previous prime is 10209169. The next prime is 10209203. The reversal of 10209180 is 8190201.

10209180 is a modest number, since divided by 9180 gives 1020 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3985 + ... + 6024.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 2^10209180 is an apocalyptic number.

10209180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10209180 is an abundant number, since it is smaller than the sum of its proper divisors (20061060).

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

10209180 is a wasteful number, since it uses less digits than its factorization.

10209180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 10036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 10209180 is about 3195.1807460612. The cubic root of 10209180 is about 216.9353301030.

Adding to 10209180 its reverse (8190201), we get a palindrome (18399381).

It can be divided in two parts, 1020 and 9180, that multiplied together give a square (9363600 = 3060²).

The spelling of 10209180 in words is "ten million, two hundred nine thousand, one hundred eighty".