100441575 has 72 divisors (see below), whose sum is σ = 202299552. Its totient is φ = 47266560.

The previous prime is 100441567. The next prime is 100441577. The reversal of 100441575 is 575144001.

It is a happy number.

It is not a de Polignac number, because 100441575 - 2³ = 100441567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100441577) 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 71 ways as a sum of consecutive naturals, for example, 66529 + ... + 68021.

It is an arithmetic number, because the mean of its divisors is an integer number (2809716).

Almost surely, 2^100441575 is an apocalyptic number.

100441575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100441575 is an abundant number, since it is smaller than the sum of its proper divisors (101857977).

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

100441575 is a wasteful number, since it uses less digits than its factorization.

100441575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 100441575 is about 10022.0544301056. The cubic root of 100441575 is about 464.8410833992.

Adding to 100441575 its reverse (575144001), we get a palindrome (675585576).

The spelling of 100441575 in words is "one hundred million, four hundred forty-one thousand, five hundred seventy-five".