106633305 has 24 divisors (see below), whose sum is σ = 185415360. Its totient is φ = 56691360.

The previous prime is 106633277. The next prime is 106633309. The reversal of 106633305 is 503336601.

It is not a de Polignac number, because 106633305 - 2⁸ = 106633049 is a prime.

It is a super-2 number, since 2×106633305² = 22741323470446050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106633309) 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 23 ways as a sum of consecutive naturals, for example, 11316 + ... + 18474.

It is an arithmetic number, because the mean of its divisors is an integer number (7725640).

Almost surely, 2^106633305 is an apocalyptic number.

106633305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106633305 is a deficient number, since it is larger than the sum of its proper divisors (78782055).

106633305 is a wasteful number, since it uses less digits than its factorization.

106633305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7501 (or 7498 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 106633305 is about 10326.3403488361. The cubic root of 106633305 is about 474.2029921561.

Adding to 106633305 its reverse (503336601), we get a palindrome (609969906).

The spelling of 106633305 in words is "one hundred six million, six hundred thirty-three thousand, three hundred five".