106161464641 has 2 divisors, whose sum is σ = 106161464642. Its totient is φ = 106161464640.

The previous prime is 106161464623. The next prime is 106161464683. The reversal of 106161464641 is 146464161601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106158672400 + 2792241 = 325820^2 + 1671^2 .

It is an emirp because it is prime and its reverse (146464161601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106161464641 - 2²⁵ = 106127910209 is a prime.

It is a super-2 number, since 2×106161464641² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106161464594 and 106161464603.

It is not a weakly prime, because it can be changed into another prime (106161464441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53080732320 + 53080732321.

It is an arithmetic number, because the mean of its divisors is an integer number (53080732321).

Almost surely, 2^106161464641 is an apocalyptic number.

It is an amenable number.

106161464641 is a deficient number, since it is larger than the sum of its proper divisors (1).

106161464641 is an equidigital number, since it uses as much as digits as its factorization.

106161464641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 106161464641 in words is "one hundred six billion, one hundred sixty-one million, four hundred sixty-four thousand, six hundred forty-one".