10180800 has 252 divisors, whose sum is σ = 41763696. Its totient is φ = 2304000.

The previous prime is 10180787. The next prime is 10180801. The reversal of 10180800 is 808101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10180801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100750 + ... + 100850.

Almost surely, 2^10180800 is an apocalyptic number.

10180800 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 10180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20881848).

10180800 is an abundant number, since it is smaller than the sum of its proper divisors (31582896).

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

10180800 is a wasteful number, since it uses less digits than its factorization.

10180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 10180800 is about 3190.7365920740. The cubic root of 10180800 is about 216.7341275798.

Adding to 10180800 its reverse (808101), we get a palindrome (10988901).

The spelling of 10180800 in words is "ten million, one hundred eighty thousand, eight hundred".