106050556005561 has 18 divisors (see below), whose sum is σ = 161670792216570. Its totient is φ = 66979298527776.

The previous prime is 106050556005503. The next prime is 106050556005613. The reversal of 106050556005561 is 165500655050601.

It can be written as a sum of positive squares in only one way, i.e., 106040977664400 + 9578341161 = 10297620^2 + 97869^2 .

It is not a de Polignac number, because 106050556005561 - 2¹⁰ = 106050556004537 is a prime.

It is a super-2 number, since 2×106050556005561² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106050556505561) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16320488596 + ... + 16320495093.

Almost surely, 2^{106050556005561} is an apocalyptic number.

It is an amenable number.

106050556005561 is a deficient number, since it is larger than the sum of its proper divisors (55620236211009).

106050556005561 is a wasteful number, since it uses less digits than its factorization.

106050556005561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32640983733 (or 32640983711 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 106050556005561 in words is "one hundred six trillion, fifty billion, five hundred fifty-six million, five thousand, five hundred sixty-one".