10127936 has 112 divisors (see below), whose sum is σ = 25944576. Its totient is φ = 3815424.

The previous prime is 10127927. The next prime is 10127941. The reversal of 10127936 is 63972101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 10127899 and 10127908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215465 + ... + 215511.

It is an arithmetic number, because the mean of its divisors is an integer number (231648).

Almost surely, 2^10127936 is an apocalyptic number.

10127936 is a gapful number since it is divisible by the number (16) 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 10127936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972288).

10127936 is an abundant number, since it is smaller than the sum of its proper divisors (15816640).

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

10127936 is a wasteful number, since it uses less digits than its factorization.

10127936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 10127936 is about 3182.4418297905. The cubic root of 10127936 is about 216.3583443634.

The spelling of 10127936 in words is "ten million, one hundred twenty-seven thousand, nine hundred thirty-six".