106825365 has 64 divisors (see below), whose sum is σ = 203731200. Its totient is φ = 52918272.

The previous prime is 106825361. The next prime is 106825379. The reversal of 106825365 is 563528601.

It is not a de Polignac number, because 106825365 - 2² = 106825361 is a prime.

It is a super-2 number, since 2×106825365² = 22823317214766450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106825361) by changing a digit.

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, 203994 + ... + 204516.

It is an arithmetic number, because the mean of its divisors is an integer number (3183300).

Almost surely, 2^106825365 is an apocalyptic number.

106825365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106825365 is a deficient number, since it is larger than the sum of its proper divisors (96905835).

106825365 is a wasteful number, since it uses less digits than its factorization.

106825365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 106825365 is about 10335.6356843689. The cubic root of 106825365 is about 474.4875211528.

The spelling of 106825365 in words is "one hundred six million, eight hundred twenty-five thousand, three hundred sixty-five".