100614068928 has 168 divisors, whose sum is σ = 316770105600. Its totient is φ = 30391358976.

The previous prime is 100614068903. The next prime is 100614068939. The reversal of 100614068928 is 829860416001.

100614068928 is a `hidden beast` number, since 1 + 0 + 0 + 614 + 0 + 6 + 8 + 9 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51853 + ... + 451571.

Almost surely, 2^100614068928 is an apocalyptic number.

100614068928 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 100614068928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158385052800).

100614068928 is an abundant number, since it is smaller than the sum of its proper divisors (216156036672).

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

100614068928 is a wasteful number, since it uses less digits than its factorization.

100614068928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399779 (or 399766 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 100614068928 in words is "one hundred billion, six hundred fourteen million, sixty-eight thousand, nine hundred twenty-eight".