10300040300 has 108 divisors (see below), whose sum is σ = 24708710208. Its totient is φ = 3723984000.

The previous prime is 10300040243. The next prime is 10300040357. The reversal of 10300040300 is 304000301.

10300040300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10300040243) and next prime (10300040357).

It is a super-3 number, since 3×10300040300³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2187749 + ... + 2192451.

Almost surely, 2^10300040300 is an apocalyptic number.

10300040300 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 10300040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12354355104).

10300040300 is an abundant number, since it is smaller than the sum of its proper divisors (14408669908).

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

10300040300 is a wasteful number, since it uses less digits than its factorization.

10300040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 10300040300 its reverse (304000301), we get a palindrome (10604040601).

The spelling of 10300040300 in words is "ten billion, three hundred million, forty thousand, three hundred".