100332193 has 8 divisors (see below), whose sum is σ = 108297000. Its totient is φ = 92402688.

The previous prime is 100332173. The next prime is 100332203. The reversal of 100332193 is 391233001.

It can be written as a sum of positive squares in 4 ways, for example, as 24433249 + 75898944 = 4943^2 + 8712^2 .

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 100332193 - 2⁵ = 100332161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100332173) 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, 2758 + ... + 14431.

It is an arithmetic number, because the mean of its divisors is an integer number (13537125).

Almost surely, 2^100332193 is an apocalyptic number.

100332193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100332193 is a deficient number, since it is larger than the sum of its proper divisors (7964807).

100332193 is a wasteful number, since it uses less digits than its factorization.

100332193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17651.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 100332193 is about 10016.5958788403. The cubic root of 100332193 is about 464.6722830608.

Adding to 100332193 its reverse (391233001), we get a palindrome (491565194).

The spelling of 100332193 in words is "one hundred million, three hundred thirty-two thousand, one hundred ninety-three".