10258000 has 80 divisors (see below), whose sum is σ = 25998336. Its totient is φ = 3907200.

The previous prime is 10257997. The next prime is 10258007. The reversal of 10258000 is 85201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10258007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45889 + ... + 46111.

Almost surely, 2^10258000 is an apocalyptic number.

10258000 is a gapful number since it is divisible by the number (10) 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 10258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999168).

10258000 is an abundant number, since it is smaller than the sum of its proper divisors (15740336).

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

10258000 is a wasteful number, since it uses less digits than its factorization.

10258000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 10258000 is about 3202.8112651232. The cubic root of 10258000 is about 217.2805731724.

It can be divided in two parts, 1025 and 8000, that added together give a square (9025 = 95²).

The spelling of 10258000 in words is "ten million, two hundred fifty-eight thousand".