10107864 has 48 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 3109824.

The previous prime is 10107857. The next prime is 10107887. The reversal of 10107864 is 46870101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4464 + ... + 6335.

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

Almost surely, 2^10107864 is an apocalyptic number.

It is an amenable number.

10107864 is an abundant number, since it is smaller than the sum of its proper divisors (19376136).

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

10107864 is a wasteful number, since it uses less digits than its factorization.

10107864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10824 (or 10817 counting only the distinct ones).

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

The square root of 10107864 is about 3179.2867124561. The cubic root of 10107864 is about 216.2153202654.

Adding to 10107864 its reverse (46870101), we get a palindrome (56977965).

The spelling of 10107864 in words is "ten million, one hundred seven thousand, eight hundred sixty-four".