10257030 has 128 divisors (see below), whose sum is σ = 32117760. Its totient is φ = 2309472.

The previous prime is 10257007. The next prime is 10257031. The reversal of 10257030 is 3075201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10256994 and 10257012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153057 + ... + 153123.

It is an arithmetic number, because the mean of its divisors is an integer number (250920).

Almost surely, 2^10257030 is an apocalyptic number.

10257030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10257030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16058880).

10257030 is an abundant number, since it is smaller than the sum of its proper divisors (21860730).

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

10257030 is an frugal number, since it uses more digits than its factorization.

10257030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10257030 is about 3202.6598320771. The cubic root of 10257030 is about 217.2737242480.

The spelling of 10257030 in words is "ten million, two hundred fifty-seven thousand, thirty".