106729645 has 32 divisors (see below), whose sum is σ = 144789120. Its totient is φ = 74845440.

The previous prime is 106729633. The next prime is 106729661. The reversal of 106729645 is 546927601.

It is not a de Polignac number, because 106729645 - 2¹⁷ = 106598573 is a prime.

It is a super-3 number, since 3×106729645³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106729598 and 106729607.

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 31 ways as a sum of consecutive naturals, for example, 364119 + ... + 364411.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660).

Almost surely, 2^106729645 is an apocalyptic number.

It is an amenable number.

106729645 is a deficient number, since it is larger than the sum of its proper divisors (38059475).

106729645 is a wasteful number, since it uses less digits than its factorization.

106729645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 106729645 is about 10331.0040654333. The cubic root of 106729645 is about 474.3457585738.

The spelling of 106729645 in words is "one hundred six million, seven hundred twenty-nine thousand, six hundred forty-five".