100509041 has 8 divisors (see below), whose sum is σ = 105938280. Its totient is φ = 95210752.

The previous prime is 100509007. The next prime is 100509043. The reversal of 100509041 is 140905001.

It can be written as a sum of positive squares in 4 ways, for example, as 9859600 + 90649441 = 3140^2 + 9521^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100509041 - 2²⁶ = 33400177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100509043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31160 + ... + 34233.

It is an arithmetic number, because the mean of its divisors is an integer number (13242285).

Almost surely, 2^100509041 is an apocalyptic number.

It is an amenable number.

100509041 is a deficient number, since it is larger than the sum of its proper divisors (5429239).

100509041 is an equidigital number, since it uses as much as digits as its factorization.

100509041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65475.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 100509041 is about 10025.4197418362. The cubic root of 100509041 is about 464.9451370891.

It can be divided in two parts, 10050 and 9041, that added together give a palindrome (19091).

The spelling of 100509041 in words is "one hundred million, five hundred nine thousand, forty-one".