100284200160 has 192 divisors, whose sum is σ = 322195745088. Its totient is φ = 26210156544.

The previous prime is 100284200147. The next prime is 100284200161. The reversal of 100284200160 is 61002482001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100284200160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100284200161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36962964 + ... + 36965676.

It is an arithmetic number, because the mean of its divisors is an integer number (1678102839).

Almost surely, 2^100284200160 is an apocalyptic number.

100284200160 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 100284200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161097872544).

100284200160 is an abundant number, since it is smaller than the sum of its proper divisors (221911544928).

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

100284200160 is a wasteful number, since it uses less digits than its factorization.

100284200160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 100284200160 its reverse (61002482001), we get a palindrome (161286682161).

The spelling of 100284200160 in words is "one hundred billion, two hundred eighty-four million, two hundred thousand, one hundred sixty".