105664745121 has 8 divisors (see below), whose sum is σ = 151723736640. Its totient is φ = 65024458512.

The previous prime is 105664745117. The next prime is 105664745141. The reversal of 105664745121 is 121547466501.

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

It is not a de Polignac number, because 105664745121 - 2² = 105664745117 is a prime.

It is a super-2 number, since 2×105664745121² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105664745141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1354676181 + ... + 1354676258.

It is an arithmetic number, because the mean of its divisors is an integer number (18965467080).

Almost surely, 2^105664745121 is an apocalyptic number.

It is an amenable number.

105664745121 is a deficient number, since it is larger than the sum of its proper divisors (46058991519).

105664745121 is a wasteful number, since it uses less digits than its factorization.

105664745121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709352455.

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 105664745121 in words is "one hundred five billion, six hundred sixty-four million, seven hundred forty-five thousand, one hundred twenty-one".