106132125 has 48 divisors (see below), whose sum is σ = 194201280. Its totient is φ = 51436000.

The previous prime is 106132121. The next prime is 106132151. The reversal of 106132125 is 521231601.

106132125 = 986² + 987² + ... + 1084².

It is not a de Polignac number, because 106132125 - 2² = 106132121 is a prime.

It is a super-2 number, since 2×106132125² = 22528055914031250, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106132121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44206 + ... + 46544.

It is an arithmetic number, because the mean of its divisors is an integer number (4045860).

Almost surely, 2^106132125 is an apocalyptic number.

106132125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106132125 is a deficient number, since it is larger than the sum of its proper divisors (88069155).

106132125 is a wasteful number, since it uses less digits than its factorization.

106132125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106132125 is about 10302.0446999613. The cubic root of 106132125 is about 473.4589020268.

Adding to 106132125 its reverse (521231601), we get a palindrome (627363726).

It can be divided in two parts, 106 and 132125, that added together give a palindrome (132231).

The spelling of 106132125 in words is "one hundred six million, one hundred thirty-two thousand, one hundred twenty-five".