100807127893368 has 320 divisors, whose sum is σ = 314610089270400. Its totient is φ = 29943051909120.

The previous prime is 100807127893319. The next prime is 100807127893421. The reversal of 100807127893368 is 863398721708001.

100807127893368 is a `hidden beast` number, since 100 + 8 + 0 + 7 + 12 + 78 + 93 + 368 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1637485308 + ... + 1637546868.

It is an arithmetic number, because the mean of its divisors is an integer number (983156528970).

Almost surely, 2^{100807127893368} is an apocalyptic number.

100807127893368 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 100807127893368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157305044635200).

100807127893368 is an abundant number, since it is smaller than the sum of its proper divisors (213802961377032).

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

100807127893368 is a wasteful number, since it uses less digits than its factorization.

100807127893368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68324 (or 68311 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 100807127893368 in words is "one hundred trillion, eight hundred seven billion, one hundred twenty-seven million, eight hundred ninety-three thousand, three hundred sixty-eight".