106050005001055 has 32 divisors (see below), whose sum is σ = 129147036945408. Its totient is φ = 83584599840000.

The previous prime is 106050005000999. The next prime is 106050005001131. The reversal of 106050005001055 is 550100500050601.

It is not a de Polignac number, because 106050005001055 - 2³⁷ = 105912566047583 is a prime.

It is a super-2 number, since 2×106050005001055² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2819935062 + ... + 2819972668.

It is an arithmetic number, because the mean of its divisors is an integer number (4035844904544).

Almost surely, 2^{106050005001055} is an apocalyptic number.

106050005001055 is a deficient number, since it is larger than the sum of its proper divisors (23097031944353).

106050005001055 is a wasteful number, since it uses less digits than its factorization.

106050005001055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46087.

The product of its (nonzero) digits is 3750, while the sum is 28.

Adding to 106050005001055 its reverse (550100500050601), we get a palindrome (656150505051656).

The spelling of 106050005001055 in words is "one hundred six trillion, fifty billion, five million, one thousand, fifty-five".