1008100381800 has 96 divisors (see below), whose sum is σ = 3127556966400. Its totient is φ = 268616378880.

The previous prime is 1008100381781. The next prime is 1008100381807. The reversal of 1008100381800 is 81830018001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1008100381807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110572 + ... + 1424228.

It is an arithmetic number, because the mean of its divisors is an integer number (32578718400).

Almost surely, 2^{1008100381800} is an apocalyptic number.

1008100381800 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 1008100381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563778483200).

1008100381800 is an abundant number, since it is smaller than the sum of its proper divisors (2119456584600).

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

1008100381800 is a wasteful number, since it uses less digits than its factorization.

1008100381800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314955 (or 1314946 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

Adding to 1008100381800 its reverse (81830018001), we get a palindrome (1089930399801).

The spelling of 1008100381800 in words is "one trillion, eight billion, one hundred million, three hundred eighty-one thousand, eight hundred".