100032113 has 8 divisors (see below), whose sum is σ = 101678976. Its totient is φ = 98392000.

The previous prime is 100032103. The next prime is 100032137. The reversal of 100032113 is 311230001.

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 100032113 - 2¹⁰ = 100031089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100032094 and 100032103.

It is not an unprimeable number, because it can be changed into a prime (100032103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34313 + ... + 37113.

It is an arithmetic number, because the mean of its divisors is an integer number (12709872).

Almost surely, 2^100032113 is an apocalyptic number.

It is an amenable number.

100032113 is a deficient number, since it is larger than the sum of its proper divisors (1646863).

100032113 is an equidigital number, since it uses as much as digits as its factorization.

100032113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 100032113 is about 10001.6055211151. The cubic root of 100032113 is about 464.2085631578.

Adding to 100032113 its reverse (311230001), we get a palindrome (411262114).

The spelling of 100032113 in words is "one hundred million, thirty-two thousand, one hundred thirteen".