105997761489 has 8 divisors (see below), whose sum is σ = 141523162432. Its totient is φ = 70568767440.

The previous prime is 105997761349. The next prime is 105997761517. The reversal of 105997761489 is 984167799501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105997761489 - 2²¹ = 105995664337 is a prime.

It is a super-2 number, since 2×105997761489² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105997762489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24099157 + ... + 24103554.

It is an arithmetic number, because the mean of its divisors is an integer number (17690395304).

Almost surely, 2^105997761489 is an apocalyptic number.

It is an amenable number.

105997761489 is a deficient number, since it is larger than the sum of its proper divisors (35525400943).

105997761489 is an equidigital number, since it uses as much as digits as its factorization.

105997761489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48203447.

The product of its (nonzero) digits is 34292160, while the sum is 66.

The spelling of 105997761489 in words is "one hundred five billion, nine hundred ninety-seven million, seven hundred sixty-one thousand, four hundred eighty-nine".