1000100193 has 8 divisors (see below), whose sum is σ = 1335399456. Its totient is φ = 665767200.

The previous prime is 1000100183. The next prime is 1000100201. The reversal of 1000100193 is 3910010001.

1000100193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 1000100193 - 2⁵ = 1000100161 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000100173) 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, 239148 + ... + 243293.

It is an arithmetic number, because the mean of its divisors is an integer number (166924932).

Almost surely, 2^1000100193 is an apocalyptic number.

It is an amenable number.

1000100193 is a deficient number, since it is larger than the sum of its proper divisors (335299263).

1000100193 is an equidigital number, since it uses as much as digits as its factorization.

1000100193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483135.

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 1000100193 is about 31624.3607524326. The cubic root of 1000100193 is about 1000.0333965513.

Adding to 1000100193 its reverse (3910010001), we get a palindrome (4910110194).

The spelling of 1000100193 in words is "one billion, one hundred thousand, one hundred ninety-three".