10681272 has 48 divisors (see below), whose sum is σ = 33062640. Its totient is φ = 3051648.

The previous prime is 10681241. The next prime is 10681273. The reversal of 10681272 is 27218601.

It is a super-2 number, since 2×10681272² = 228179143075968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10093 + ... + 11100.

It is an arithmetic number, because the mean of its divisors is an integer number (688805).

Almost surely, 2^10681272 is an apocalyptic number.

10681272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10681272 is an abundant number, since it is smaller than the sum of its proper divisors (22381368).

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

10681272 is a wasteful number, since it uses less digits than its factorization.

10681272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21212 (or 21205 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10681272 is about 3268.2215347188. The cubic root of 10681272 is about 220.2289077467.

Adding to 10681272 its reverse (27218601), we get a palindrome (37899873).

The spelling of 10681272 in words is "ten million, six hundred eighty-one thousand, two hundred seventy-two".