109123491395961 has 189 divisors, whose sum is σ = 200935538371071. Its totient is φ = 59054063832288.

The previous prime is 109123491395951. The next prime is 109123491396013. The reversal of 109123491395961 is 169593194321901.

The square root of 109123491395961 is 10446219.

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

109123491395961 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 2 + 3 + 4 + 9 + 1 + 39 + 596 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94634353664361 + 14489137731600 = 9728019^2 + 3806460^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 109123491395961 - 2⁵ = 109123491395929 is a prime.

It is a super-2 number, since 2×109123491395961² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (109123491395951) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 37512370975 + ... + 37512373883.

Almost surely, 2^{109123491395961} is an apocalyptic number.

109123491395961 is the 10446219-th square number.

109123491395961 is the 5223110-th centered octagonal number.

It is an amenable number.

109123491395961 is a deficient number, since it is larger than the sum of its proper divisors (91812046975110).

109123491395961 is an frugal number, since it uses more digits than its factorization.

109123491395961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 109123491395961 in words is "one hundred nine trillion, one hundred twenty-three billion, four hundred ninety-one million, three hundred ninety-five thousand, nine hundred sixty-one".