100039001813568 has 336 divisors, whose sum is σ = 319229273666160. Its totient is φ = 29805782630400.

The previous prime is 100039001813557. The next prime is 100039001813579. The reversal of 100039001813568 is 865318100930001.

It is a happy number.

100039001813568 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 3 + 9 + 0 + 0 + 1 + 81 + 3 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (100039001813557) and next prime (100039001813579).

It can be written as a sum of positive squares in 8 ways, for example, as 1175593725504 + 98863408088064 = 1084248^2 + 9943008^2 .

It is a super-3 number, since 3×100039001813568³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14434428 + ... + 20209668.

Almost surely, 2^{100039001813568} is an apocalyptic number.

100039001813568 is a gapful number since it is divisible by the number (18) 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 100039001813568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159614636833080).

100039001813568 is an abundant number, since it is smaller than the sum of its proper divisors (219190271852592).

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

100039001813568 is a wasteful number, since it uses less digits than its factorization.

100039001813568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775366 (or 5775353 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 100039001813568 in words is "one hundred trillion, thirty-nine billion, one million, eight hundred thirteen thousand, five hundred sixty-eight".