100094084640 has 1440 divisors, whose sum is σ = 420467604480. Its totient is φ = 22353408000.

The previous prime is 100094084639. The next prime is 100094084663. The reversal of 100094084640 is 46480490001.

It is a happy number.

100094084640 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 9 + 4 + 0 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 100094084595 and 100094084604.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1409775805 + ... + 1409775875.

It is an arithmetic number, because the mean of its divisors is an integer number (291991392).

Almost surely, 2^100094084640 is an apocalyptic number.

100094084640 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 100094084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210233802240).

100094084640 is an abundant number, since it is smaller than the sum of its proper divisors (320373519840).

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

100094084640 is a wasteful number, since it uses less digits than its factorization.

100094084640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 100094084640 in words is "one hundred billion, ninety-four million, eighty-four thousand, six hundred forty".