100041160 has 32 divisors (see below), whose sum is σ = 227094840. Its totient is φ = 39660544.

The previous prime is 100041143. The next prime is 100041173. The reversal of 100041160 is 61140001.

It can be written as a sum of positive squares in 4 ways, for example, as 48804196 + 51236964 = 6986^2 + 7158^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100041160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6547 + ... + 15586.

Almost surely, 2^100041160 is an apocalyptic number.

100041160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100041160 is an abundant number, since it is smaller than the sum of its proper divisors (127053680).

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

100041160 is a wasteful number, since it uses less digits than its factorization.

100041160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22257 (or 22253 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 100041160 is about 10002.0577882754. The cubic root of 100041160 is about 464.2225572248. Note that the first 3 decimals are identical.

Adding to 100041160 its reverse (61140001), we get a palindrome (161181161).

The spelling of 100041160 in words is "one hundred million, forty-one thousand, one hundred sixty".