1100106161 has 16 divisors (see below), whose sum is σ = 1374120960. Its totient is φ = 855625680.

The previous prime is 1100106149. The next prime is 1100106173. The reversal of 1100106161 is 1616010011.

It is an interprime number because it is at equal distance from previous prime (1100106149) and next prime (1100106173).

It is not a de Polignac number, because 1100106161 - 2¹⁰ = 1100105137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100106461) 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, 29060 + ... + 55178.

It is an arithmetic number, because the mean of its divisors is an integer number (85882560).

Almost surely, 2^1100106161 is an apocalyptic number.

1100106161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100106161 is a deficient number, since it is larger than the sum of its proper divisors (274014799).

1100106161 is a wasteful number, since it uses less digits than its factorization.

1100106161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26684.

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 1100106161 is about 33167.8483022339. The cubic root of 1100106161 is about 1032.3133228394.

Adding to 1100106161 its reverse (1616010011), we get a palindrome (2716116172).

The spelling of 1100106161 in words is "one billion, one hundred million, one hundred six thousand, one hundred sixty-one".