100000001067 has 8 divisors (see below), whose sum is σ = 133336662480. Its totient is φ = 66665003520.

The previous prime is 100000001009. The next prime is 100000001099. The reversal of 100000001067 is 760100000001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100000001067 - 2¹¹ = 99999999019 is a prime.

It is a super-2 number, since 2×100000001067² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100000001267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268234 + ... + 521487.

It is an arithmetic number, because the mean of its divisors is an integer number (16667082810).

Almost surely, 2^100000001067 is an apocalyptic number.

100000001067 is a deficient number, since it is larger than the sum of its proper divisors (33336661413).

100000001067 is an equidigital number, since it uses as much as digits as its factorization.

100000001067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831933.

The product of its (nonzero) digits is 42, while the sum is 15.

Adding to 100000001067 its reverse (760100000001), we get a palindrome (860100001068).

The spelling of 100000001067 in words is "one hundred billion, one thousand, sixty-seven".