100373578898208 has 1536 divisors, whose sum is σ = 354438498484224. Its totient is φ = 24126197760000.

The previous prime is 100373578898191. The next prime is 100373578898267. The reversal of 100373578898208 is 802898875373001.

It is a super-2 number, since 2×100373578898208² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 61692426291 + ... + 61692427917.

It is an arithmetic number, because the mean of its divisors is an integer number (230754230784).

Almost surely, 2^{100373578898208} 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 100373578898208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177219249242112).

100373578898208 is an abundant number, since it is smaller than the sum of its proper divisors (254064919586016).

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

100373578898208 is a wasteful number, since it uses less digits than its factorization.

100373578898208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 69.

The spelling of 100373578898208 in words is "one hundred trillion, three hundred seventy-three billion, five hundred seventy-eight million, eight hundred ninety-eight thousand, two hundred eight".