108112601993841 has 27 divisors (see below), whose sum is σ = 157793584833963. Its totient is φ = 71330029695360.

The previous prime is 108112601993833. The next prime is 108112601993849. The reversal of 108112601993841 is 148399106211801.

The square root of 108112601993841 is 10397721.

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

108112601993841 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 12 + 60 + 199 + 384 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (108112601993833) and next prime (108112601993849).

It can be written as a sum of positive squares in only one way, i.e., 48546683327025 + 59565918666816 = 6967545^2 + 7717896^2 .

It is not a de Polignac number, because 108112601993841 - 2³ = 108112601993833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (108112601993849) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3025718946 + ... + 3025754676.

Almost surely, 2^{108112601993841} is an apocalyptic number.

108112601993841 is the 10397721-st square number.

108112601993841 is the 5198861-st centered octagonal number.

It is an amenable number.

108112601993841 is a deficient number, since it is larger than the sum of its proper divisors (49680982840122).

108112601993841 is an frugal number, since it uses more digits than its factorization.

108112601993841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71662 (or 35831 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 108112601993841 in words is "one hundred eight trillion, one hundred twelve billion, six hundred one million, nine hundred ninety-three thousand, eight hundred forty-one".