106451825 has 12 divisors (see below), whose sum is σ = 134492508. Its totient is φ = 83553600.

The previous prime is 106451819. The next prime is 106451833. The reversal of 106451825 is 528154601.

It can be written as a sum of positive squares in 6 ways, for example, as 3713329 + 102738496 = 1927^2 + 10136^2 .

It is a de Polignac number, because none of the positive numbers 2^k-106451825 is a prime.

It is a super-3 number, since 3×106451825³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106451791 and 106451800.

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 11 ways as a sum of consecutive naturals, for example, 38846 + ... + 41495.

It is an arithmetic number, because the mean of its divisors is an integer number (11207709).

Almost surely, 2^106451825 is an apocalyptic number.

It is an amenable number.

106451825 is a deficient number, since it is larger than the sum of its proper divisors (28040683).

106451825 is an equidigital number, since it uses as much as digits as its factorization.

106451825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80404 (or 80399 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 106451825 is about 10317.5493698843. The cubic root of 106451825 is about 473.9338228868.

The spelling of 106451825 in words is "one hundred six million, four hundred fifty-one thousand, eight hundred twenty-five".