106180056881 has 2 divisors, whose sum is σ = 106180056882. Its totient is φ = 106180056880.

The previous prime is 106180056833. The next prime is 106180056929. The reversal of 106180056881 is 188650081601.

It is a balanced prime because it is at equal distance from previous prime (106180056833) and next prime (106180056929).

It can be written as a sum of positive squares in only one way, i.e., 97541283856 + 8638773025 = 312316^2 + 92945^2 .

It is an emirp because it is prime and its reverse (188650081601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106180056881 - 2¹⁸ = 106179794737 is a prime.

It is a super-2 number, since 2×106180056881² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106180056181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53090028440 + 53090028441.

It is an arithmetic number, because the mean of its divisors is an integer number (53090028441).

Almost surely, 2^106180056881 is an apocalyptic number.

It is an amenable number.

106180056881 is a deficient number, since it is larger than the sum of its proper divisors (1).

106180056881 is an equidigital number, since it uses as much as digits as its factorization.

106180056881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 92160, while the sum is 44.

The spelling of 106180056881 in words is "one hundred six billion, one hundred eighty million, fifty-six thousand, eight hundred eighty-one".