10107300 has 72 divisors (see below), whose sum is σ = 33428416. Its totient is φ = 2309760.

The previous prime is 10107277. The next prime is 10107301. The reversal of 10107300 is 370101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10107301) 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, 307 + ... + 4506.

Almost surely, 2^10107300 is an apocalyptic number.

10107300 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 10107300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16714208).

10107300 is an abundant number, since it is smaller than the sum of its proper divisors (23321116).

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

10107300 is a wasteful number, since it uses less digits than its factorization.

10107300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 10107300 is about 3179.1980120779. The cubic root of 10107300 is about 216.2112987198.

Adding to 10107300 its reverse (370101), we get a palindrome (10477401).

The spelling of 10107300 in words is "ten million, one hundred seven thousand, three hundred".