100912 has 40 divisors (see below), whose sum is σ = 241056. Its totient is φ = 39936.

The previous prime is 100907. The next prime is 100913. The reversal of 100912 is 219001.

100912 = T₁₁₃ + T₁₁₄ + ... + T₁₂₆.

It is a junction number, because it is equal to n+sod(n) for n = 100892 and 100901.

It is not an unprimeable number, because it can be changed into a prime (100913) by changing a digit.

100912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1878 + ... + 1930.

2¹⁰⁰⁹¹² 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 100912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120528).

100912 is an abundant number, since it is smaller than the sum of its proper divisors (140144).

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

100912 is a wasteful number, since it uses less digits than its factorization.

100912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 100912 is about 317.6664917803. Note that the first 3 decimals coincide. The cubic root of 100912 is about 46.5565658399.

Adding to 100912 its reverse (219001), we get a palindrome (319913).

The spelling of 100912 in words is "one hundred thousand, nine hundred twelve".