100405066320 has 400 divisors, whose sum is σ = 377193358080. Its totient is φ = 24606747648.

The previous prime is 100405066303. The next prime is 100405066331. The reversal of 100405066320 is 23660504001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20130867 + ... + 20135853.

Almost surely, 2^100405066320 is an apocalyptic number.

100405066320 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 100405066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188596679040).

100405066320 is an abundant number, since it is smaller than the sum of its proper divisors (276788291760).

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

100405066320 is a wasteful number, since it uses less digits than its factorization.

100405066320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 100405066320 in words is "one hundred billion, four hundred five million, sixty-six thousand, three hundred twenty".