106825305 has 8 divisors (see below), whose sum is σ = 170920512. Its totient is φ = 56973488.

The previous prime is 106825283. The next prime is 106825321. The reversal of 106825305 is 503528601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106825305 - 2⁷ = 106825177 is a prime.

It is a super-2 number, since 2×106825305² = 22823291576686050, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3560829 + ... + 3560858.

It is an arithmetic number, because the mean of its divisors is an integer number (21365064).

Almost surely, 2^106825305 is an apocalyptic number.

106825305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106825305 is a deficient number, since it is larger than the sum of its proper divisors (64095207).

106825305 is an equidigital number, since it uses as much as digits as its factorization.

106825305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7121695.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 106825305 is about 10335.6327817894. The cubic root of 106825305 is about 474.4874323186.

The spelling of 106825305 in words is "one hundred six million, eight hundred twenty-five thousand, three hundred five".