1080100800 has 252 divisors, whose sum is σ = 3880338696. Its totient is φ = 284928000.

The previous prime is 1080100757. The next prime is 1080100807. The reversal of 1080100800 is 80010801.

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 not an unprimeable number, because it can be changed into a prime (1080100807) 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, 1540450 + ... + 1541150.

Almost surely, 2^1080100800 is an apocalyptic number.

1080100800 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 1080100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940169348).

1080100800 is an abundant number, since it is smaller than the sum of its proper divisors (2800237896).

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

1080100800 is a wasteful number, since it uses less digits than its factorization.

1080100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 818 counting only the distinct ones).

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

The square root of 1080100800 is about 32864.8870376881. The cubic root of 1080100800 is about 1026.0174865640.

The spelling of 1080100800 in words is "one billion, eighty million, one hundred thousand, eight hundred".