100008161 has 24 divisors (see below), whose sum is σ = 117210144. Its totient is φ = 84602880.

The previous prime is 100008133. The next prime is 100008169. The reversal of 100008161 is 161800001.

It is a happy number.

It is not a de Polignac number, because 100008161 - 2¹⁰ = 100007137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100008169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518081 + ... + 518273.

It is an arithmetic number, because the mean of its divisors is an integer number (4883756).

Almost surely, 2^100008161 is an apocalyptic number.

100008161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100008161 is a deficient number, since it is larger than the sum of its proper divisors (17201983).

100008161 is a wasteful number, since it uses less digits than its factorization.

100008161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 100008161 is about 10000.4080416751. The cubic root of 100008161 is about 464.1715096866.

Adding to 100008161 its reverse (161800001), we get a palindrome (261808162).

The spelling of 100008161 in words is "one hundred million, eight thousand, one hundred sixty-one".