10682112 has 72 divisors (see below), whose sum is σ = 32507776. Its totient is φ = 3050496.

The previous prime is 10682107. The next prime is 10682117. The reversal of 10682112 is 21128601.

It is an interprime number because it is at equal distance from previous prime (10682107) and next prime (10682117).

It is a super-2 number, since 2×10682112² = 228215033561088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10682117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4383 + ... + 6369.

Almost surely, 2^10682112 is an apocalyptic number.

10682112 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 10682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16253888).

10682112 is an abundant number, since it is smaller than the sum of its proper divisors (21825664).

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

10682112 is an equidigital number, since it uses as much as digits as its factorization.

10682112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10682112 is about 3268.3500424526. The cubic root of 10682112 is about 220.2346806994.

The spelling of 10682112 in words is "ten million, six hundred eighty-two thousand, one hundred twelve".