100105161 has 16 divisors (see below), whose sum is σ = 147086016. Its totient is φ = 60169536.

The previous prime is 100105157. The next prime is 100105171. The reversal of 100105161 is 161501001.

It is not a de Polignac number, because 100105161 - 2² = 100105157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100105161.

It is not an unprimeable number, because it can be changed into a prime (100105111) 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 15 ways as a sum of consecutive naturals, for example, 28170 + ... + 31523.

It is an arithmetic number, because the mean of its divisors is an integer number (9192876).

Almost surely, 2^100105161 is an apocalyptic number.

It is an amenable number.

100105161 is a deficient number, since it is larger than the sum of its proper divisors (46980855).

100105161 is a wasteful number, since it uses less digits than its factorization.

100105161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59752.

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 100105161 is about 10005.2566683719. The cubic root of 100105161 is about 464.3215310684.

Adding to 100105161 its reverse (161501001), we get a palindrome (261606162).

The spelling of 100105161 in words is "one hundred million, one hundred five thousand, one hundred sixty-one".