100112345 has 8 divisors (see below), whose sum is σ = 120280776. Its totient is φ = 79992576.

The previous prime is 100112333. The next prime is 100112357. The reversal of 100112345 is 543211001.

It is an interprime number because it is at equal distance from previous prime (100112333) and next prime (100112357).

It can be written as a sum of positive squares in 4 ways, for example, as 14531344 + 85581001 = 3812^2 + 9251^2 .

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 100112345 - 2⁴ = 100112329 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7472 + ... + 16001.

It is an arithmetic number, because the mean of its divisors is an integer number (15035097).

Almost surely, 2^100112345 is an apocalyptic number.

It is an amenable number.

100112345 is a deficient number, since it is larger than the sum of its proper divisors (20168431).

100112345 is an equidigital number, since it uses as much as digits as its factorization.

100112345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24331.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 100112345 is about 10005.6156732107. The cubic root of 100112345 is about 464.3326380751.

Adding to 100112345 its reverse (543211001), we get a palindrome (643323346).

The spelling of 100112345 in words is "one hundred million, one hundred twelve thousand, three hundred forty-five".