105516006601 has 4 divisors (see below), whose sum is σ = 105517530900. Its totient is φ = 105514482304.

The previous prime is 105516006593. The next prime is 105516006653. The reversal of 105516006601 is 106600615501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 106600615501 = 281 ⋅379361621.

It can be written as a sum of positive squares in 2 ways, for example, as 5960612025 + 99555394576 = 77205^2 + 315524^2 .

It is a cyclic number.

It is not a de Polignac number, because 105516006601 - 2³ = 105516006593 is a prime.

It is a super-2 number, since 2×105516006601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105516009601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 653116 + ... + 798493.

It is an arithmetic number, because the mean of its divisors is an integer number (26379382725).

Almost surely, 2^105516006601 is an apocalyptic number.

It is an amenable number.

105516006601 is a deficient number, since it is larger than the sum of its proper divisors (1524299).

105516006601 is an equidigital number, since it uses as much as digits as its factorization.

105516006601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524298.

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 105516006601 in words is "one hundred five billion, five hundred sixteen million, six thousand, six hundred one".