100111312 has 60 divisors (see below), whose sum is σ = 227412900. Its totient is φ = 42567168.

The previous prime is 100111273. The next prime is 100111321. The reversal of 100111312 is 213111001.

It can be written as a sum of positive squares in 2 ways, for example, as 53816896 + 46294416 = 7336^2 + 6804^2 .

It is a super-2 number, since 2×100111312² = 20044549580722688, which contains 22 as substring.

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, 116388 + ... + 117244.

It is an arithmetic number, because the mean of its divisors is an integer number (3790215).

Almost surely, 2^100111312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113706450).

100111312 is an abundant number, since it is smaller than the sum of its proper divisors (127301588).

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

100111312 is a wasteful number, since it uses less digits than its factorization.

100111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 100111312 is about 10005.5640520662. The cubic root of 100111312 is about 464.3310410118.

Adding to 100111312 its reverse (213111001), we get a palindrome (313222313).

The spelling of 100111312 in words is "one hundred million, one hundred eleven thousand, three hundred twelve".