100427362875840 has 2688 divisors, whose sum is σ = 453649787136000. Its totient is φ = 18156711444480.

The previous prime is 100427362875809. The next prime is 100427362875887. The reversal of 100427362875840 is 48578263724001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 51527635186 + ... + 51527637134.

It is an arithmetic number, because the mean of its divisors is an integer number (168768522000).

Almost surely, 2^{100427362875840} is an apocalyptic number.

100427362875840 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 100427362875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226824893568000).

100427362875840 is an abundant number, since it is smaller than the sum of its proper divisors (353222424260160).

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

100427362875840 is a wasteful number, since it uses less digits than its factorization.

100427362875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 100427362875840 in words is "one hundred trillion, four hundred twenty-seven billion, three hundred sixty-two million, eight hundred seventy-five thousand, eight hundred forty".