100838427417 has 160 divisors (see below), whose sum is σ = 197547178752. Its totient is φ = 49743507456.

The previous prime is 100838427397. The next prime is 100838427439. The reversal of 100838427417 is 714724838001.

100838427417 is a `hidden beast` number, since 100 + 83 + 8 + 427 + 41 + 7 = 666.

It is not a de Polignac number, because 100838427417 - 2⁸ = 100838427161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100838427017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20422573 + ... + 20427509.

Almost surely, 2^100838427417 is an apocalyptic number.

100838427417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100838427417 is a deficient number, since it is larger than the sum of its proper divisors (96708751335).

100838427417 is a wasteful number, since it uses less digits than its factorization.

100838427417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 100838427417 in words is "one hundred billion, eight hundred thirty-eight million, four hundred twenty-seven thousand, four hundred seventeen".