109584117193 has 2 divisors, whose sum is σ = 109584117194. Its totient is φ = 109584117192.

The previous prime is 109584117187. The next prime is 109584117257. The reversal of 109584117193 is 391711485901.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57423495424 + 52160621769 = 239632^2 + 228387^2 .

It is a cyclic number.

It is not a de Polignac number, because 109584117193 - 2¹³ = 109584109001 is a prime.

It is not a weakly prime, because it can be changed into another prime (109584117143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54792058596 + 54792058597.

It is an arithmetic number, because the mean of its divisors is an integer number (54792058597).

Almost surely, 2^109584117193 is an apocalyptic number.

It is an amenable number.

109584117193 is a deficient number, since it is larger than the sum of its proper divisors (1).

109584117193 is an equidigital number, since it uses as much as digits as its factorization.

109584117193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 272160, while the sum is 49.

The spelling of 109584117193 in words is "one hundred nine billion, five hundred eighty-four million, one hundred seventeen thousand, one hundred ninety-three".