100032123 has 16 divisors (see below), whose sum is σ = 135255680. Its totient is φ = 65753856.

The previous prime is 100032103. The next prime is 100032137. The reversal of 100032123 is 321230001.

It is a happy number.

It is not a de Polignac number, because 100032123 - 2⁶ = 100032059 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100032099 and 100032108.

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109836 + ... + 110742.

It is an arithmetic number, because the mean of its divisors is an integer number (8453480).

Almost surely, 2^100032123 is an apocalyptic number.

100032123 is a deficient number, since it is larger than the sum of its proper divisors (35223557).

100032123 is an equidigital number, since it uses as much as digits as its factorization.

100032123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100032123 is about 10001.6060210348. The cubic root of 100032123 is about 464.2085786265.

Adding to 100032123 its reverse (321230001), we get a palindrome (421262124).

The spelling of 100032123 in words is "one hundred million, thirty-two thousand, one hundred twenty-three".