106561105601 has 8 divisors (see below), whose sum is σ = 107367876000. Its totient is φ = 105754908960.

The previous prime is 106561105571. The next prime is 106561105663. The reversal of 106561105601 is 106501165601.

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 106561105601 - 2⁶ = 106561105537 is a prime.

It is a super-2 number, since 2×106561105601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106561135601) 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 7 ways as a sum of consecutive naturals, for example, 233141 + ... + 517181.

It is an arithmetic number, because the mean of its divisors is an integer number (13420984500).

Almost surely, 2^106561105601 is an apocalyptic number.

It is an amenable number.

106561105601 is a deficient number, since it is larger than the sum of its proper divisors (806770399).

106561105601 is a wasteful number, since it uses less digits than its factorization.

106561105601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286879.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 106561105601 in words is "one hundred six billion, five hundred sixty-one million, one hundred five thousand, six hundred one".