105100550606 has 32 divisors (see below), whose sum is σ = 161322710400. Its totient is φ = 51338717280.

The previous prime is 105100550603. The next prime is 105100550609. The reversal of 105100550606 is 606055001501.

It is an interprime number because it is at equal distance from previous prime (105100550603) and next prime (105100550609).

It is a super-2 number, since 2×105100550606² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100550603) 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 15 ways as a sum of consecutive naturals, for example, 22250561 + ... + 22255283.

It is an arithmetic number, because the mean of its divisors is an integer number (5041334700).

Almost surely, 2^105100550606 is an apocalyptic number.

105100550606 is a deficient number, since it is larger than the sum of its proper divisors (56222159794).

105100550606 is a wasteful number, since it uses less digits than its factorization.

105100550606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5984.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 105100550606 in words is "one hundred five billion, one hundred million, five hundred fifty thousand, six hundred six".