100283815200 has 144 divisors (see below), whose sum is σ = 326587222080. Its totient is φ = 26728965120.

The previous prime is 100283815157. The next prime is 100283815253. The reversal of 100283815200 is 2518382001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5359461 + ... + 5378139.

It is an arithmetic number, because the mean of its divisors is an integer number (2267966820).

Almost surely, 2^100283815200 is an apocalyptic number.

100283815200 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 100283815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163293611040).

100283815200 is an abundant number, since it is smaller than the sum of its proper divisors (226303406880).

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

100283815200 is a wasteful number, since it uses less digits than its factorization.

100283815200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20939 (or 20926 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 100283815200 in words is "one hundred billion, two hundred eighty-three million, eight hundred fifteen thousand, two hundred".