106006061056001 has 32 divisors (see below), whose sum is σ = 112958536793760. Its totient is φ = 99135608979456.

The previous prime is 106006061055989. The next prime is 106006061056031. The reversal of 106006061056001 is 100650160600601.

It can be written as a sum of positive squares in 16 ways, for example, as 30931617024400 + 75074444031601 = 5561620^2 + 8664551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106006061056001 is a prime.

It is a super-2 number, since 2×106006061056001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106006061056031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2525797145 + ... + 2525839113.

It is an arithmetic number, because the mean of its divisors is an integer number (3529954274805).

Almost surely, 2^{106006061056001} is an apocalyptic number.

It is an amenable number.

106006061056001 is a deficient number, since it is larger than the sum of its proper divisors (6952475737759).

106006061056001 is a wasteful number, since it uses less digits than its factorization.

106006061056001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43733.

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 106006061056001 in words is "one hundred six trillion, six billion, sixty-one million, fifty-six thousand, one".