106441125 has 128 divisors (see below), whose sum is σ = 221405184. Its totient is φ = 44352000.

The previous prime is 106441121. The next prime is 106441147. The reversal of 106441125 is 521144601.

It is a happy number.

It is not a de Polignac number, because 106441125 - 2² = 106441121 is a prime.

It is a super-2 number, since 2×106441125² = 22659426182531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106441095 and 106441104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106441121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2475354 + ... + 2475396.

It is an arithmetic number, because the mean of its divisors is an integer number (1729728).

Almost surely, 2^106441125 is an apocalyptic number.

106441125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106441125 is an abundant number, since it is smaller than the sum of its proper divisors (114964059).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106441125 is a wasteful number, since it uses less digits than its factorization.

106441125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106441125 is about 10317.0308228676. The cubic root of 106441125 is about 473.9179432097.

Adding to 106441125 its reverse (521144601), we get a palindrome (627585726).

The spelling of 106441125 in words is "one hundred six million, four hundred forty-one thousand, one hundred twenty-five".