100553117868 has 288 divisors, whose sum is σ = 307419840000. Its totient is φ = 27107232768.

The previous prime is 100553117851. The next prime is 100553117869. The reversal of 100553117868 is 868711355001.

100553117868 is a `hidden beast` number, since 1 + 0 + 0 + 553 + 1 + 17 + 86 + 8 = 666.

It is a super-3 number, since 3×100553117868³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (100553117869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67079383 + ... + 67080881.

It is an arithmetic number, because the mean of its divisors is an integer number (1067430000).

Almost surely, 2^100553117868 is an apocalyptic number.

100553117868 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 100553117868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153709920000).

100553117868 is an abundant number, since it is smaller than the sum of its proper divisors (206866722132).

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

100553117868 is a wasteful number, since it uses less digits than its factorization.

100553117868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 100553117868 in words is "one hundred billion, five hundred fifty-three million, one hundred seventeen thousand, eight hundred sixty-eight".