10251164 has 48 divisors (see below), whose sum is σ = 22692096. Its totient is φ = 3936000.

The previous prime is 10251149. The next prime is 10251179. The reversal of 10251164 is 46115201.

It is an interprime number because it is at equal distance from previous prime (10251149) and next prime (10251179).

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 15 ways as a sum of consecutive naturals, for example, 25364 + ... + 25764.

It is an arithmetic number, because the mean of its divisors is an integer number (472752).

Almost surely, 2^10251164 is an apocalyptic number.

10251164 is a gapful number since it is divisible by the number (14) 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 10251164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11346048).

10251164 is an abundant number, since it is smaller than the sum of its proper divisors (12440932).

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

10251164 is a wasteful number, since it uses less digits than its factorization.

10251164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10251164 is about 3201.7438998146. The cubic root of 10251164 is about 217.2322967031.

Adding to 10251164 its reverse (46115201), we get a palindrome (56366365).

The spelling of 10251164 in words is "ten million, two hundred fifty-one thousand, one hundred sixty-four".