10309000 has 96 divisors (see below), whose sum is σ = 26549640. Its totient is φ = 3744000.

The previous prime is 10308997. The next prime is 10309003. The reversal of 10309000 is 90301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10308997) and next prime (10309003).

It can be written as a sum of positive squares in 12 ways, for example, as 6380676 + 3928324 = 2526^2 + 1982^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10309003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168970 + ... + 169030.

Almost surely, 2^10309000 is an apocalyptic number.

10309000 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 10309000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274820).

10309000 is an abundant number, since it is smaller than the sum of its proper divisors (16240640).

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

10309000 is a wasteful number, since it uses less digits than its factorization.

10309000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 10309000 is about 3210.7631491594. The cubic root of 10309000 is about 217.6400648005.

Adding to 10309000 its reverse (90301), we get a palindrome (10399301).

The spelling of 10309000 in words is "ten million, three hundred nine thousand".