105601105060561 has 8 divisors (see below), whose sum is σ = 115235018653824. Its totient is φ = 95972826989520.

The previous prime is 105601105060541. The next prime is 105601105060571. The reversal of 105601105060561 is 165060501106501.

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 105601105060561 - 2¹³ = 105601105052369 is a prime.

It is a super-2 number, since 2×105601105060561² (a number of 29 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 105601105060561.

It is not an unprimeable number, because it can be changed into a prime (105601105060541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1408841370 + ... + 1408916323.

It is an arithmetic number, because the mean of its divisors is an integer number (14404377331728).

Almost surely, 2^{105601105060561} is an apocalyptic number.

105601105060561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105601105060561 is a deficient number, since it is larger than the sum of its proper divisors (9633913593263).

105601105060561 is a wasteful number, since it uses less digits than its factorization.

105601105060561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817761111.

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

The spelling of 105601105060561 in words is "one hundred five trillion, six hundred one billion, one hundred five million, sixty thousand, five hundred sixty-one".