100422828000 has 960 divisors, whose sum is σ = 423541198080. Its totient is φ = 23048064000.

The previous prime is 100422827987. The next prime is 100422828001. The reversal of 100422828000 is 828224001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100422828001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67715259 + ... + 67716741.

It is an arithmetic number, because the mean of its divisors is an integer number (441188748).

Almost surely, 2^100422828000 is an apocalyptic number.

100422828000 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 100422828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211770599040).

100422828000 is an abundant number, since it is smaller than the sum of its proper divisors (323118370080).

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

100422828000 is a wasteful number, since it uses less digits than its factorization.

100422828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 100422828000 in words is "one hundred billion, four hundred twenty-two million, eight hundred twenty-eight thousand".