10738112 has 56 divisors (see below), whose sum is σ = 26578560. Its totient is φ = 4181760.

The previous prime is 10738093. The next prime is 10738127. The reversal of 10738112 is 21183701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 3839 + ... + 6017.

Almost surely, 2^10738112 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 10738112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13289280).

10738112 is an abundant number, since it is smaller than the sum of its proper divisors (15840448).

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

10738112 is a wasteful number, since it uses less digits than its factorization.

10738112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 10738112 is about 3276.9058576651. The cubic root of 10738112 is about 220.6188635551.

The spelling of 10738112 in words is "ten million, seven hundred thirty-eight thousand, one hundred twelve".