61005105560101 has 16 divisors (see below), whose sum is σ = 66315722803200. Its totient is φ = 55906064751600.

The previous prime is 61005105560089. The next prime is 61005105560123. The reversal of 61005105560101 is 10106550150016.

It is not a de Polignac number, because 61005105560101 - 2²⁹ = 61004568689189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61005105560131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20762995 + ... + 23518336.

It is an arithmetic number, because the mean of its divisors is an integer number (4144732675200).

Almost surely, 2^{61005105560101} is an apocalyptic number.

It is an amenable number.

61005105560101 is a deficient number, since it is larger than the sum of its proper divisors (5310617243099).

61005105560101 is a wasteful number, since it uses less digits than its factorization.

61005105560101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44283720.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 61005105560101 in words is "sixty-one trillion, five billion, one hundred five million, five hundred sixty thousand, one hundred one".