10180000 has 60 divisors (see below), whose sum is σ = 25093530. Its totient is φ = 4064000.

The previous prime is 10179989. The next prime is 10180021. The reversal of 10180000 is 8101.

It can be written as a sum of positive squares in 5 ways, for example, as 767376 + 9412624 = 876^2 + 3068^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19746 + ... + 20254.

Almost surely, 2^10180000 is an apocalyptic number.

10180000 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 10180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546765).

10180000 is an abundant number, since it is smaller than the sum of its proper divisors (14913530).

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

10180000 is an frugal number, since it uses more digits than its factorization.

10180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 10180000 is about 3190.6112267088. The cubic root of 10180000 is about 216.7284504934.

Adding to 10180000 its reverse (8101), we get a palindrome (10188101).

The spelling of 10180000 in words is "ten million, one hundred eighty thousand".