106006525 has 12 divisors (see below), whose sum is σ = 134655444. Its totient is φ = 82736000.

The previous prime is 106006507. The next prime is 106006531. The reversal of 106006525 is 525600601.

It can be written as a sum of positive squares in 6 ways, for example, as 22448644 + 83557881 = 4738^2 + 9141^2 .

It is not a de Polignac number, because 106006525 - 2⁵ = 106006493 is a prime.

It is a super-2 number, since 2×106006525² = 22474766685151250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106006525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50686 + ... + 52735.

It is an arithmetic number, because the mean of its divisors is an integer number (11221287).

Almost surely, 2^106006525 is an apocalyptic number.

It is an amenable number.

106006525 is a deficient number, since it is larger than the sum of its proper divisors (28648919).

106006525 is a wasteful number, since it uses less digits than its factorization.

106006525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103472 (or 103467 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 106006525 is about 10295.9470181232. The cubic root of 106006525 is about 473.2720597247.

The spelling of 106006525 in words is "one hundred six million, six thousand, five hundred twenty-five".