106885733761 has 2 divisors, whose sum is σ = 106885733762. Its totient is φ = 106885733760.

The previous prime is 106885733743. The next prime is 106885733767. The reversal of 106885733761 is 167337588601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99742272400 + 7143461361 = 315820^2 + 84519^2 .

It is a cyclic number.

It is not a de Polignac number, because 106885733761 - 2¹⁷ = 106885602689 is a prime.

It is a super-2 number, since 2×106885733761² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106885733767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53442866880 + 53442866881.

It is an arithmetic number, because the mean of its divisors is an integer number (53442866881).

Almost surely, 2^106885733761 is an apocalyptic number.

It is an amenable number.

106885733761 is a deficient number, since it is larger than the sum of its proper divisors (1).

106885733761 is an equidigital number, since it uses as much as digits as its factorization.

106885733761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 106885733761 in words is "one hundred six billion, eight hundred eighty-five million, seven hundred thirty-three thousand, seven hundred sixty-one".