100205144016 has 80 divisors (see below), whose sum is σ = 271080328320. Its totient is φ = 31835668480.

The previous prime is 100205144003. The next prime is 100205144057. The reversal of 100205144016 is 610441502001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148720 + ... + 471728.

It is an arithmetic number, because the mean of its divisors is an integer number (3388504104).

Almost surely, 2^100205144016 is an apocalyptic number.

100205144016 is a gapful number since it is divisible by the number (16) 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 100205144016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135540164160).

100205144016 is an abundant number, since it is smaller than the sum of its proper divisors (170875184304).

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

100205144016 is a wasteful number, since it uses less digits than its factorization.

100205144016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323324 (or 323318 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 100205144016 its reverse (610441502001), we get a palindrome (710646646017).

The spelling of 100205144016 in words is "one hundred billion, two hundred five million, one hundred forty-four thousand, sixteen".