100310112 has 72 divisors (see below), whose sum is σ = 326014416. Its totient is φ = 28659456.

The previous prime is 100310087. The next prime is 100310143. The reversal of 100310112 is 211013001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100310094 and 100310103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22863 + ... + 26894.

It is an arithmetic number, because the mean of its divisors is an integer number (4527978).

Almost surely, 2^100310112 is an apocalyptic number.

100310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100310112 is an abundant number, since it is smaller than the sum of its proper divisors (225704304).

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

100310112 is a wasteful number, since it uses less digits than its factorization.

100310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49780 (or 49769 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100310112 is about 10015.4935974219. The cubic root of 100310112 is about 464.6381923694.

Adding to 100310112 its reverse (211013001), we get a palindrome (311323113).

The spelling of 100310112 in words is "one hundred million, three hundred ten thousand, one hundred twelve".