100105112 has 32 divisors (see below), whose sum is σ = 202979520. Its totient is φ = 46103040.

The previous prime is 100105111. The next prime is 100105121. The reversal of 100105112 is 211501001.

It is a junction number, because it is equal to n+sod(n) for n = 100105093 and 100105102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1439 + ... + 14222.

It is an arithmetic number, because the mean of its divisors is an integer number (6343110).

Almost surely, 2^100105112 is an apocalyptic number.

It is an amenable number.

100105112 is an abundant number, since it is smaller than the sum of its proper divisors (102874408).

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

100105112 is a wasteful number, since it uses less digits than its factorization.

100105112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15731 (or 15727 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 11.

The square root of 100105112 is about 10005.2542196588. The cubic root of 100105112 is about 464.3214553089.

Adding to 100105112 its reverse (211501001), we get a palindrome (311606113).

The spelling of 100105112 in words is "one hundred million, one hundred five thousand, one hundred twelve".