10742112 has 48 divisors (see below), whose sum is σ = 31333680. Its totient is φ = 3580416.

The previous prime is 10742111. The next prime is 10742129. The reversal of 10742112 is 21124701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742111) 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, 5353 + ... + 7080.

It is an arithmetic number, because the mean of its divisors is an integer number (652785).

Almost surely, 2^10742112 is an apocalyptic number.

10742112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10742112 is an abundant number, since it is smaller than the sum of its proper divisors (20591568).

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

10742112 is a wasteful number, since it uses less digits than its factorization.

10742112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12452 (or 12438 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10742112 is about 3277.5161326834. The cubic root of 10742112 is about 220.6462540281.

Adding to 10742112 its reverse (21124701), we get a palindrome (31866813).

The spelling of 10742112 in words is "ten million, seven hundred forty-two thousand, one hundred twelve".