10018800 has 270 divisors, whose sum is σ = 39877656. Its totient is φ = 2323200.

The previous prime is 10018793. The next prime is 10018837. The reversal of 10018800 is 881001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 435589 + ... + 435611.

Almost surely, 2^10018800 is an apocalyptic number.

10018800 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 10018800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19938828).

10018800 is an abundant number, since it is smaller than the sum of its proper divisors (29858856).

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

10018800 is a wasteful number, since it uses less digits than its factorization.

10018800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

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

The square root of 10018800 is about 3165.2488053864. The cubic root of 10018800 is about 215.5783957250.

Adding to 10018800 its reverse (881001), we get a palindrome (10899801).

It can be divided in two parts, 1001 and 8800, that added together give a square (9801 = 99²).

The spelling of 10018800 in words is "ten million, eighteen thousand, eight hundred".