106041663 has 32 divisors (see below), whose sum is σ = 193356800. Its totient is φ = 55932768.

The previous prime is 106041659. The next prime is 106041743. The reversal of 106041663 is 366140601.

It is not a de Polignac number, because 106041663 - 2² = 106041659 is a prime.

It is a super-2 number, since 2×106041663² = 22489668583611138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106041623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19123 + ... + 24036.

It is an arithmetic number, because the mean of its divisors is an integer number (6042400).

Almost surely, 2^106041663 is an apocalyptic number.

106041663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106041663 is a deficient number, since it is larger than the sum of its proper divisors (87315137).

106041663 is a wasteful number, since it uses less digits than its factorization.

106041663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43188 (or 43182 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106041663 is about 10297.6532763538. The cubic root of 106041663 is about 473.3243458035.

The spelling of 106041663 in words is "one hundred six million, forty-one thousand, six hundred sixty-three".