1008100800 has 504 divisors, whose sum is σ = 4181282976. Its totient is φ = 225607680.

The previous prime is 1008100783. The next prime is 1008100801. The reversal of 1008100800 is 80018001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008100801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7358332 + ... + 7358468.

Almost surely, 2^1008100800 is an apocalyptic number.

1008100800 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 1008100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090641488).

1008100800 is an abundant number, since it is smaller than the sum of its proper divisors (3173182176).

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

1008100800 is a wasteful number, since it uses less digits than its factorization.

1008100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

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

The square root of 1008100800 is about 31750.6031438774. The cubic root of 1008100800 is about 1002.6930078651.

Adding to 1008100800 its reverse (80018001), we get a palindrome (1088118801).

It can be divided in two parts, 1008 and 100800, that multiplied together give a square (101606400 = 10080²).

The spelling of 1008100800 in words is "one billion, eight million, one hundred thousand, eight hundred".