10107936 has 48 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 3369024.

The previous prime is 10107917. The next prime is 10107947. The reversal of 10107936 is 63970101.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4986 + ... + 6713.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^10107936 is an apocalyptic number.

10107936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10107936 is an abundant number, since it is smaller than the sum of its proper divisors (19376064).

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

10107936 is a wasteful number, since it uses less digits than its factorization.

10107936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11718 (or 11704 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 10107936 is about 3179.2980357305. The cubic root of 10107936 is about 216.2158336435.

The spelling of 10107936 in words is "ten million, one hundred seven thousand, nine hundred thirty-six".