10258164 has 60 divisors (see below), whose sum is σ = 30654624. Its totient is φ = 2930256.

The previous prime is 10258147. The next prime is 10258177. The reversal of 10258164 is 46185201.

10258164 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7 + ... + 4529.

Almost surely, 2^10258164 is an apocalyptic number.

10258164 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 10258164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327312).

10258164 is an abundant number, since it is smaller than the sum of its proper divisors (20396460).

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

10258164 is a wasteful number, since it uses less digits than its factorization.

10258164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10258164 is about 3202.8368675285. The cubic root of 10258164 is about 217.2817310922.

The spelling of 10258164 in words is "ten million, two hundred fifty-eight thousand, one hundred sixty-four".