106533645 has 64 divisors (see below), whose sum is σ = 187971840. Its totient is φ = 51314688.

The previous prime is 106533601. The next prime is 106533653. The reversal of 106533645 is 546335601.

It is not a de Polignac number, because 106533645 - 2⁷ = 106533517 is a prime.

It is a super-3 number, since 3×106533645³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1098237 + ... + 1098333.

It is an arithmetic number, because the mean of its divisors is an integer number (2937060).

Almost surely, 2^106533645 is an apocalyptic number.

106533645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106533645 is a deficient number, since it is larger than the sum of its proper divisors (81438195).

106533645 is a wasteful number, since it uses less digits than its factorization.

106533645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254.

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 106533645 is about 10321.5136971280. The cubic root of 106533645 is about 474.0552153094.

The spelling of 106533645 in words is "one hundred six million, five hundred thirty-three thousand, six hundred forty-five".