106516480001 has 4 divisors (see below), whose sum is σ = 110189462100. Its totient is φ = 102843497904.

The previous prime is 106516479997. The next prime is 106516480009. The reversal of 106516480001 is 100084615601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100084615601 = 1201 ⋅83334401.

It can be written as a sum of positive squares in 2 ways, for example, as 89880639601 + 16635840400 = 299801^2 + 128980^2 .

It is a cyclic number.

It is not a de Polignac number, because 106516480001 - 2² = 106516479997 is a prime.

It is a super-2 number, since 2×106516480001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106516480001.

It is not an unprimeable number, because it can be changed into a prime (106516480009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1836491006 + ... + 1836491063.

It is an arithmetic number, because the mean of its divisors is an integer number (27547365525).

Almost surely, 2^106516480001 is an apocalyptic number.

It is an amenable number.

106516480001 is a deficient number, since it is larger than the sum of its proper divisors (3672982099).

106516480001 is an equidigital number, since it uses as much as digits as its factorization.

106516480001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672982098.

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 106516480001 in words is "one hundred six billion, five hundred sixteen million, four hundred eighty thousand, one".