100641193 has 8 divisors (see below), whose sum is σ = 101771208. Its totient is φ = 99517824.

The previous prime is 100641187. The next prime is 100641217. The reversal of 100641193 is 391146001.

It can be written as a sum of positive squares in 4 ways, for example, as 81866304 + 18774889 = 9048^2 + 4333^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100641193 - 2⁵ = 100641161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100641103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32605 + ... + 35557.

It is an arithmetic number, because the mean of its divisors is an integer number (12721401).

Almost surely, 2^100641193 is an apocalyptic number.

It is an amenable number.

100641193 is a deficient number, since it is larger than the sum of its proper divisors (1130015).

100641193 is a wasteful number, since it uses less digits than its factorization.

100641193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 100641193 is about 10032.0084230427. The cubic root of 100641193 is about 465.1488219837.

Adding to 100641193 its reverse (391146001), we get a palindrome (491787194).

The spelling of 100641193 in words is "one hundred million, six hundred forty-one thousand, one hundred ninety-three".