106933365 has 128 divisors (see below), whose sum is σ = 241827840. Its totient is φ = 44089920.

The previous prime is 106933363. The next prime is 106933399. The reversal of 106933365 is 563339601.

It is not a de Polignac number, because 106933365 - 2¹ = 106933363 is a prime.

It is a super-2 number, since 2×106933365² = 22869489100446450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106933363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 841932 + ... + 842058.

It is an arithmetic number, because the mean of its divisors is an integer number (1889280).

Almost surely, 2^106933365 is an apocalyptic number.

106933365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106933365 is an abundant number, since it is smaller than the sum of its proper divisors (134894475).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106933365 is an equidigital number, since it uses as much as digits as its factorization.

106933365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 106933365 is about 10340.8590068717. The cubic root of 106933365 is about 474.6473689337.

The spelling of 106933365 in words is "one hundred six million, nine hundred thirty-three thousand, three hundred sixty-five".