106418881 has 2 divisors, whose sum is σ = 106418882. Its totient is φ = 106418880.

The previous prime is 106418869. The next prime is 106418887. The reversal of 106418881 is 188814601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57138481 + 49280400 = 7559^2 + 7020^2 .

It is a cyclic number.

It is not a de Polignac number, because 106418881 - 2¹⁵ = 106386113 is a prime.

It is a super-2 number, since 2×106418881² = 22649956466584322, which contains 22 as substring.

It is equal to p_6109399 and since 106418881 and 6109399 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106418881.

It is not a weakly prime, because it can be changed into another prime (106418887) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53209440 + 53209441.

It is an arithmetic number, because the mean of its divisors is an integer number (53209441).

Almost surely, 2^106418881 is an apocalyptic number.

It is an amenable number.

106418881 is a deficient number, since it is larger than the sum of its proper divisors (1).

106418881 is an equidigital number, since it uses as much as digits as its factorization.

106418881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 37.

The square root of 106418881 is about 10315.9527432031. The cubic root of 106418881 is about 473.8849278843.

The spelling of 106418881 in words is "one hundred six million, four hundred eighteen thousand, eight hundred eighty-one".