10007300 has 72 divisors (see below), whose sum is σ = 23956800. Its totient is φ = 3611520.

The previous prime is 10007297. The next prime is 10007303. The reversal of 10007300 is 370001.

It is an interprime number because it is at equal distance from previous prime (10007297) and next prime (10007303).

It is not an unprimeable number, because it can be changed into a prime (10007303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43586 + ... + 43814.

Almost surely, 2^10007300 is an apocalyptic number.

10007300 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 10007300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978400).

10007300 is an abundant number, since it is smaller than the sum of its proper divisors (13949500).

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

10007300 is a wasteful number, since it uses less digits than its factorization.

10007300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 10007300 is about 3163.4316809440. The cubic root of 10007300 is about 215.4958808292.

Adding to 10007300 its reverse (370001), we get a palindrome (10377301).

The spelling of 10007300 in words is "ten million, seven thousand, three hundred".