100067389805 has 18 divisors (see below), whose sum is σ = 120871171134. Its totient is φ = 79530476544.

The previous prime is 100067389769. The next prime is 100067389837. The reversal of 100067389805 is 508983760001.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 936237604 + 99131152201 = 30598^2 + 314851^2 .

It is not a de Polignac number, because 100067389805 - 2²⁴ = 100050612589 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100067389805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 136517219 + ... + 136517951.

It is an arithmetic number, because the mean of its divisors is an integer number (6715065063).

Almost surely, 2^100067389805 is an apocalyptic number.

It is an amenable number.

100067389805 is a deficient number, since it is larger than the sum of its proper divisors (20803781329).

100067389805 is an frugal number, since it uses more digits than its factorization.

100067389805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 100067389805 in words is "one hundred billion, sixty-seven million, three hundred eighty-nine thousand, eight hundred five".