100331541 has 28 divisors (see below), whose sum is σ = 151336780. Its totient is φ = 66484800.

The previous prime is 100331521. The next prime is 100331563. The reversal of 100331541 is 145133001.

It can be written as a sum of positive squares in 2 ways, for example, as 89302500 + 11029041 = 9450^2 + 3321^2 .

It is not a de Polignac number, because 100331541 - 2¹⁴ = 100315157 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100331521) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 166641 + ... + 167241.

It is an arithmetic number, because the mean of its divisors is an integer number (5404885).

Almost surely, 2^100331541 is an apocalyptic number.

It is an amenable number.

100331541 is a deficient number, since it is larger than the sum of its proper divisors (51005239).

100331541 is an frugal number, since it uses more digits than its factorization.

100331541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 100331541 is about 10016.5633328003. The cubic root of 100331541 is about 464.6712765145.

Adding to 100331541 its reverse (145133001), we get a palindrome (245464542).

The spelling of 100331541 in words is "one hundred million, three hundred thirty-one thousand, five hundred forty-one".