100580841 has 9 divisors (see below), whose sum is σ = 145326909. Its totient is φ = 67033836.

The previous prime is 100580807. The next prime is 100580849. The reversal of 100580841 is 148085001.

The square root of 100580841 is 10029.

It is a perfect power (a square), and thus also a powerful number.

100580841 is a `hidden beast` number, since 1 + 0 + 0 + 580 + 84 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 100580841 - 2⁷ = 100580713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100580849) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28416 + ... + 31758.

Almost surely, 2^100580841 is an apocalyptic number.

100580841 is the 10029-th square number.

100580841 is the 5015-th centered octagonal number.

It is an amenable number.

100580841 is a deficient number, since it is larger than the sum of its proper divisors (44746068).

100580841 is an frugal number, since it uses more digits than its factorization.

100580841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6692 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The cubic root of 100580841 is about 465.0558240298.

The spelling of 100580841 in words is "one hundred million, five hundred eighty thousand, eight hundred forty-one".