10257000 has 128 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 2515200.

The previous prime is 10256999. The next prime is 10257007. The reversal of 10257000 is 75201.

It is a happy number.

It is a super-3 number, since 3×10257000³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10257007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38869 + ... + 39131.

It is an arithmetic number, because the mean of its divisors is an integer number (270270).

Almost surely, 2^10257000 is an apocalyptic number.

10257000 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 10257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

10257000 is an abundant number, since it is smaller than the sum of its proper divisors (24337560).

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

10257000 is a wasteful number, since it uses less digits than its factorization.

10257000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 10257000 is about 3202.6551484667. The cubic root of 10257000 is about 217.2735124187.

The spelling of 10257000 in words is "ten million, two hundred fifty-seven thousand".