100123116 has 12 divisors (see below), whose sum is σ = 233620632. Its totient is φ = 33374368.

The previous prime is 100123097. The next prime is 100123123. The reversal of 100123116 is 611321001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 100123095 and 100123104.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4171785 + ... + 4171808.

It is an arithmetic number, because the mean of its divisors is an integer number (19468386).

Almost surely, 2^100123116 is an apocalyptic number.

It is an amenable number.

100123116 is an abundant number, since it is smaller than the sum of its proper divisors (133497516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100123116 is a wasteful number, since it uses less digits than its factorization.

100123116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8343600 (or 8343598 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 100123116 is about 10006.1539064718. The cubic root of 100123116 is about 464.3492898593.

Adding to 100123116 its reverse (611321001), we get a palindrome (711444117).

The spelling of 100123116 in words is "one hundred million, one hundred twenty-three thousand, one hundred sixteen".