100840470192 has 960 divisors, whose sum is σ = 384775372800. Its totient is φ = 23872942080.

The previous prime is 100840470191. The next prime is 100840470221. The reversal of 100840470192 is 291074048001.

100840470192 is a `hidden beast` number, since 100 + 84 + 0 + 470 + 1 + 9 + 2 = 666.

100840470192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100840470191) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1214945383 + ... + 1214945465.

It is an arithmetic number, because the mean of its divisors is an integer number (400807680).

Almost surely, 2^100840470192 is an apocalyptic number.

100840470192 is a gapful number since it is divisible by the number (12) 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 100840470192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192387686400).

100840470192 is an abundant number, since it is smaller than the sum of its proper divisors (283934902608).

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

100840470192 is a wasteful number, since it uses less digits than its factorization.

100840470192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 100840470192 in words is "one hundred billion, eight hundred forty million, four hundred seventy thousand, one hundred ninety-two".