10680192 has 96 divisors (see below), whose sum is σ = 31399680. Its totient is φ = 3483648.

The previous prime is 10680181. The next prime is 10680203. The reversal of 10680192 is 29108601.

It is an interprime number because it is at equal distance from previous prime (10680181) and next prime (10680203).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10680192² = 228133002313728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 84033 + ... + 84159.

It is an arithmetic number, because the mean of its divisors is an integer number (327080).

Almost surely, 2^10680192 is an apocalyptic number.

10680192 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 10680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15699840).

10680192 is an abundant number, since it is smaller than the sum of its proper divisors (20719488).

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

10680192 is a wasteful number, since it uses less digits than its factorization.

10680192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10680192 is about 3268.0563030646. The cubic root of 10680192 is about 220.2214849343.

Adding to 10680192 its reverse (29108601), we get a palindrome (39788793).

The spelling of 10680192 in words is "ten million, six hundred eighty thousand, one hundred ninety-two".