106365625 has 24 divisors (see below), whose sum is σ = 134663256. Its totient is φ = 84000000.

The previous prime is 106365601. The next prime is 106365659. The reversal of 106365625 is 526563601.

It can be written as a sum of positive squares in 12 ways, for example, as 101687056 + 4678569 = 10084^2 + 2163^2 .

It is not a de Polignac number, because 106365625 - 2²¹ = 104268473 is a prime.

It is a super-2 number, since 2×106365625² = 22627292363281250, which contains 22 as substring.

It is a Duffinian 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 23 ways as a sum of consecutive naturals, for example, 315457 + ... + 315793.

It is an arithmetic number, because the mean of its divisors is an integer number (5610969).

Almost surely, 2^106365625 is an apocalyptic number.

It is an amenable number.

106365625 is a deficient number, since it is larger than the sum of its proper divisors (28297631).

106365625 is an frugal number, since it uses more digits than its factorization.

106365625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 106365625 is about 10313.3711753238. The cubic root of 106365625 is about 473.8058647627.

It can be divided in two parts, 10636 and 5625, that added together give a palindrome (16261).

The spelling of 106365625 in words is "one hundred six million, three hundred sixty-five thousand, six hundred twenty-five".