100105060060561 has 2 divisors, whose sum is σ = 100105060060562. Its totient is φ = 100105060060560.

The previous prime is 100105060060547. The next prime is 100105060060657. The reversal of 100105060060561 is 165060060501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59824903438336 + 40280156622225 = 7734656^2 + 6346665^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105060060561 - 2⁴¹ = 97906036805009 is a prime.

It is not a weakly prime, because it can be changed into another prime (100105060060861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052530030280 + 50052530030281.

It is an arithmetic number, because the mean of its divisors is an integer number (50052530030281).

Almost surely, 2^{100105060060561} is an apocalyptic number.

It is an amenable number.

100105060060561 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105060060561 is an equidigital number, since it uses as much as digits as its factorization.

100105060060561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 100105060060561 in words is "one hundred trillion, one hundred five billion, sixty million, sixty thousand, five hundred sixty-one".