106000506001 has 12 divisors (see below), whose sum is σ = 114813336972. Its totient is φ = 97819577856.

The previous prime is 106000505959. The next prime is 106000506089. The reversal of 106000506001 is 100605000601.

It can be written as a sum of positive squares in 6 ways, for example, as 34685337600 + 71315168401 = 186240^2 + 267049^2 .

It is not a de Polignac number, because 106000506001 - 2¹³ = 106000497809 is a prime.

It is a super-2 number, since 2×106000506001² (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 106000506001.

It is not an unprimeable number, because it can be changed into a prime (106000509001) 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 11 ways as a sum of consecutive naturals, for example, 539965 + ... + 709621.

It is an arithmetic number, because the mean of its divisors is an integer number (9567778081).

Almost surely, 2^106000506001 is an apocalyptic number.

It is an amenable number.

106000506001 is a deficient number, since it is larger than the sum of its proper divisors (8812830971).

106000506001 is a wasteful number, since it uses less digits than its factorization.

106000506001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173380 (or 173367 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 106000506001 its reverse (100605000601), we get a palindrome (206605506602).

The spelling of 106000506001 in words is "one hundred six billion, five hundred six thousand, one".