1105551606601 has 8 divisors (see below), whose sum is σ = 1190611527560. Its totient is φ = 1020494184192.

The previous prime is 1105551606589. The next prime is 1105551606613. The reversal of 1105551606601 is 1066061555011.

It is an interprime number because it is at equal distance from previous prime (1105551606589) and next prime (1105551606613).

It can be written as a sum of positive squares in 4 ways, for example, as 198341076025 + 907210530576 = 445355^2 + 952476^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1105551606601 - 2¹³ = 1105551598409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1105551606631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350785 + ... + 1527793.

It is an arithmetic number, because the mean of its divisors is an integer number (148826440945).

Almost surely, 2^{1105551606601} is an apocalyptic number.

It is an amenable number.

1105551606601 is a deficient number, since it is larger than the sum of its proper divisors (85059920959).

1105551606601 is a wasteful number, since it uses less digits than its factorization.

1105551606601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249275.

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 1105551606601 in words is "one trillion, one hundred five billion, five hundred fifty-one million, six hundred six thousand, six hundred one".