100038567807 has 12 divisors (see below), whose sum is σ = 149852011400. Its totient is φ = 66692378376.

The previous prime is 100038567799. The next prime is 100038567809. The reversal of 100038567807 is 708765830001.

100038567807 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 3 + 8 + 567 + 80 + 7 = 666.

It is not a de Polignac number, because 100038567807 - 2³ = 100038567799 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100038567809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205840432 + ... + 205840917.

Almost surely, 2^100038567807 is an apocalyptic number.

100038567807 is a deficient number, since it is larger than the sum of its proper divisors (49813443593).

100038567807 is an frugal number, since it uses more digits than its factorization.

100038567807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411681364 (or 411681352 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 100038567807 in words is "one hundred billion, thirty-eight million, five hundred sixty-seven thousand, eight hundred seven".