100073494224 has 320 divisors, whose sum is σ = 327679027200. Its totient is φ = 28945382400.

The previous prime is 100073494219. The next prime is 100073494237. The reversal of 100073494224 is 422494370001.

It is a super-2 number, since 2×100073494224² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88638492 + ... + 88639620.

It is an arithmetic number, because the mean of its divisors is an integer number (1023996960).

Almost surely, 2^100073494224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100073494224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163839513600).

100073494224 is an abundant number, since it is smaller than the sum of its proper divisors (227605532976).

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

100073494224 is a wasteful number, since it uses less digits than its factorization.

100073494224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 100073494224 in words is "one hundred billion, seventy-three million, four hundred ninety-four thousand, two hundred twenty-four".