10180500 has 96 divisors (see below), whose sum is σ = 32393088. Its totient is φ = 2464000.

The previous prime is 10180481. The next prime is 10180517. The reversal of 10180500 is 508101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10180500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16192 + ... + 16808.

It is an arithmetic number, because the mean of its divisors is an integer number (337428).

Almost surely, 2^10180500 is an apocalyptic number.

10180500 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 10180500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16196544).

10180500 is an abundant number, since it is smaller than the sum of its proper divisors (22212588).

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

10180500 is a wasteful number, since it uses less digits than its factorization.

10180500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 10180500 is about 3190.6895806393. The cubic root of 10180500 is about 216.7319987072.

Adding to 10180500 its reverse (508101), we get a palindrome (10688601).

It can be divided in two parts, 101 and 80500, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 10180500 in words is "ten million, one hundred eighty thousand, five hundred".