100312800 has 216 divisors, whose sum is σ = 380272536. Its totient is φ = 22901760.

The previous prime is 100312783. The next prime is 100312829. The reversal of 100312800 is 8213001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100312800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117174 + ... + 118026.

It is an arithmetic number, because the mean of its divisors is an integer number (1760521).

Almost surely, 2^100312800 is an apocalyptic number.

100312800 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 100312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190136268).

100312800 is an abundant number, since it is smaller than the sum of its proper divisors (279959736).

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

100312800 is a wasteful number, since it uses less digits than its factorization.

100312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100312800 is about 10015.6277886112. The cubic root of 100312800 is about 464.6423426200.

Adding to 100312800 its reverse (8213001), we get a palindrome (108525801).

The spelling of 100312800 in words is "one hundred million, three hundred twelve thousand, eight hundred".