106533375 has 72 divisors (see below), whose sum is σ = 196752816. Its totient is φ = 51168000.

The previous prime is 106533347. The next prime is 106533419. The reversal of 106533375 is 573335601.

It is not a de Polignac number, because 106533375 - 2⁶ = 106533311 is a prime.

It is a super-2 number, since 2×106533375² = 22698719977781250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2598355 + ... + 2598395.

It is an arithmetic number, because the mean of its divisors is an integer number (2732678).

Almost surely, 2^106533375 is an apocalyptic number.

106533375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106533375 is a deficient number, since it is larger than the sum of its proper divisors (90219441).

106533375 is an equidigital number, since it uses as much as digits as its factorization.

106533375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 33.

The square root of 106533375 is about 10321.5006176428. The cubic root of 106533375 is about 474.0548148255.

Adding to 106533375 its reverse (573335601), we get a palindrome (679868976).

It can be divided in two parts, 10653 and 3375, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 106533375 in words is "one hundred six million, five hundred thirty-three thousand, three hundred seventy-five".