100271112 has 64 divisors (see below), whose sum is σ = 260198400. Its totient is φ = 32166720.

The previous prime is 100271111. The next prime is 100271123. The reversal of 100271112 is 211172001.

It is a junction number, because it is equal to n+sod(n) for n = 100271091 and 100271100.

It is not an unprimeable number, because it can be changed into a prime (100271111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228189 + ... + 228627.

It is an arithmetic number, because the mean of its divisors is an integer number (4065600).

Almost surely, 2^100271112 is an apocalyptic number.

100271112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100271112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130099200).

100271112 is an abundant number, since it is smaller than the sum of its proper divisors (159927288).

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

100271112 is a wasteful number, since it uses less digits than its factorization.

100271112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 100271112 is about 10013.5464247189. The cubic root of 100271112 is about 464.5779683365.

The spelling of 100271112 in words is "one hundred million, two hundred seventy-one thousand, one hundred twelve".