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10112 = 2779

10112 has 16 divisors (see below), whose sum is σ = 20400. Its totient is φ = 4992.

The previous prime is 10111. The next prime is 10133. The reversal of 10112 is 21101.

It is a happy number.

10112 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (16).

It is an Ulam number.

It is a plaindrome in base 13.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 10096 and 10105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 89 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1275).

210112 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 10112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10200).

10112 is an abundant number, since it is smaller than the sum of its proper divisors (10288).

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

10112 is an frugal number, since it uses more digits than its factorization.

10112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 10112 is about 100.5584407198. The cubic root of 10112 is about 21.6244807030.

Adding to 10112 its reverse (21101), we get a palindrome (31213).

Multiplying 10112 by its reverse (21101), we get a palindrome (213373312).

The spelling of 10112 in words is "ten thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 10112