106586125 has 8 divisors (see below), whose sum is σ = 133019640. Its totient is φ = 85268800.

The previous prime is 106586119. The next prime is 106586131. The reversal of 106586125 is 521685601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106586119) and next prime (106586131).

It can be written as a sum of positive squares in 4 ways, for example, as 28068804 + 78517321 = 5298^2 + 8861^2 .

It is not a de Polignac number, because 106586125 - 2²¹ = 104488973 is a prime.

It is a super-2 number, since 2×106586125² = 22721204085031250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426220 + ... + 426469.

It is an arithmetic number, because the mean of its divisors is an integer number (16627455).

Almost surely, 2^106586125 is an apocalyptic number.

It is an amenable number.

106586125 is a deficient number, since it is larger than the sum of its proper divisors (26433515).

106586125 is an frugal number, since it uses more digits than its factorization.

106586125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852704 (or 852694 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 106586125 is about 10324.0556468861. The cubic root of 106586125 is about 474.1330446613.

The spelling of 106586125 in words is "one hundred six million, five hundred eighty-six thousand, one hundred twenty-five".