109971161161 has 9 divisors (see below), whose sum is σ = 116826564999. Its totient is φ = 103496963424.

The previous prime is 109971161123. The next prime is 109971161171. The reversal of 109971161161 is 161161179901.

The square root of 109971161161 is 331619.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 85617686025 + 24353475136 = 292605^2 + 156056^2 .

It is a de Polignac number, because none of the positive numbers 2^k-109971161161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109971161171) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5627770 + ... + 5647276.

Almost surely, 2^109971161161 is an apocalyptic number.

109971161161 is the 331619-th square number.

109971161161 is the 165810-th centered octagonal number.

It is an amenable number.

109971161161 is a deficient number, since it is larger than the sum of its proper divisors (6855403838).

109971161161 is an frugal number, since it uses more digits than its factorization.

109971161161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39048 (or 19524 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 43.

The spelling of 109971161161 in words is "one hundred nine billion, nine hundred seventy-one million, one hundred sixty-one thousand, one hundred sixty-one".