100065125 has 8 divisors (see below), whose sum is σ = 124881432. Its totient is φ = 80052000.

The previous prime is 100065107. The next prime is 100065137. The reversal of 100065125 is 521560001.

It can be written as a sum of positive squares in 4 ways, for example, as 12773476 + 87291649 = 3574^2 + 9343^2 .

It is not a de Polignac number, because 100065125 - 2⁶ = 100065061 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100065097 and 100065106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400136 + ... + 400385.

It is an arithmetic number, because the mean of its divisors is an integer number (15610179).

Almost surely, 2^100065125 is an apocalyptic number.

It is an amenable number.

100065125 is a deficient number, since it is larger than the sum of its proper divisors (24816307).

100065125 is an frugal number, since it uses more digits than its factorization.

100065125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800536 (or 800526 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 100065125 is about 10003.2557200144. The cubic root of 100065125 is about 464.2596226532.

The spelling of 100065125 in words is "one hundred million, sixty-five thousand, one hundred twenty-five".