100525041 has 12 divisors (see below), whose sum is σ = 149127732. Its totient is φ = 65205216.

The previous prime is 100525039. The next prime is 100525043. The reversal of 100525041 is 140525001.

100525041 is a `hidden beast` number, since 100 + 525 + 0 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (100525039) and next prime (100525043).

It can be written as a sum of positive squares in 2 ways, for example, as 34574400 + 65950641 = 5880^2 + 8121^2 .

It is not a de Polignac number, because 100525041 - 2¹ = 100525039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100525043) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 150606 + ... + 151271.

It is an arithmetic number, because the mean of its divisors is an integer number (12427311).

Almost surely, 2^100525041 is an apocalyptic number.

It is an amenable number.

100525041 is a deficient number, since it is larger than the sum of its proper divisors (48602691).

100525041 is a wasteful number, since it uses less digits than its factorization.

100525041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301920 (or 301917 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 100525041 is about 10026.2176816584. The cubic root of 100525041 is about 464.9698072661.

The spelling of 100525041 in words is "one hundred million, five hundred twenty-five thousand, forty-one".