10153864 has 32 divisors (see below), whose sum is σ = 22464000. Its totient is φ = 4210560.

The previous prime is 10153853. The next prime is 10153867. The reversal of 10153864 is 46835101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10153867) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1189 + ... + 4660.

It is an arithmetic number, because the mean of its divisors is an integer number (702000).

Almost surely, 2^10153864 is an apocalyptic number.

10153864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10153864 is an abundant number, since it is smaller than the sum of its proper divisors (12310136).

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

10153864 is a wasteful number, since it uses less digits than its factorization.

10153864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 10153864 is about 3186.5128275279. The cubic root of 10153864 is about 216.5428162665.

Adding to 10153864 its reverse (46835101), we get a palindrome (56988965).

The spelling of 10153864 in words is "ten million, one hundred fifty-three thousand, eight hundred sixty-four".