106001000105601 has 32 divisors (see below), whose sum is σ = 144640787356800. Its totient is φ = 69026599076864.

The previous prime is 106001000105591. The next prime is 106001000105603. The reversal of 106001000105601 is 106501000100601.

It is a cyclic number.

It is not a de Polignac number, because 106001000105601 - 2⁵ = 106001000105569 is a prime.

It is a super-2 number, since 2×106001000105601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106001000105603) 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 31 ways as a sum of consecutive naturals, for example, 44351050 + ... + 46679948.

It is an arithmetic number, because the mean of its divisors is an integer number (4520024604900).

Almost surely, 2^{106001000105601} is an apocalyptic number.

It is an amenable number.

106001000105601 is a deficient number, since it is larger than the sum of its proper divisors (38639787251199).

106001000105601 is a wasteful number, since it uses less digits than its factorization.

106001000105601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330225.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 106001000105601 in words is "one hundred six trillion, one billion, one hundred five thousand, six hundred one".