100931841 has 6 divisors (see below), whose sum is σ = 145790450. Its totient is φ = 67287888.

The previous prime is 100931821. The next prime is 100931891. The reversal of 100931841 is 148139001.

It can be written as a sum of positive squares in only one way, i.e., 100400400 + 531441 = 10020^2 + 729^2 .

It is not a de Polignac number, because 100931841 - 2¹⁸ = 100669697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100931821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5607316 + ... + 5607333.

Almost surely, 2^100931841 is an apocalyptic number.

It is an amenable number.

100931841 is a deficient number, since it is larger than the sum of its proper divisors (44858609).

100931841 is a wasteful number, since it uses less digits than its factorization.

100931841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11214655 (or 11214652 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 100931841 is about 10046.4840118322. The cubic root of 100931841 is about 465.5961690840.

The spelling of 100931841 in words is "one hundred million, nine hundred thirty-one thousand, eight hundred forty-one".