100001161 has 16 divisors (see below), whose sum is σ = 113883840. Its totient is φ = 87048000.

The previous prime is 100001159. The next prime is 100001177. The reversal of 100001161 is 161100001.

It is not a de Polignac number, because 100001161 - 2¹ = 100001159 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61191 + ... + 62803.

It is an arithmetic number, because the mean of its divisors is an integer number (7117740).

Almost surely, 2^100001161 is an apocalyptic number.

It is an amenable number.

100001161 is a deficient number, since it is larger than the sum of its proper divisors (13882679).

100001161 is a wasteful number, since it uses less digits than its factorization.

100001161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 100001161 is about 10000.0580498315. The cubic root of 100001161 is about 464.1606796492.

Adding to 100001161 its reverse (161100001), we get a palindrome (261101162).

It can be divided in two parts, 100001 and 161, that multiplied together give a palindrome (16100161).

The spelling of 100001161 in words is "one hundred million, one thousand, one hundred sixty-one".