10300205720 has 96 divisors (see below), whose sum is σ = 27339288480. Its totient is φ = 3481712640.

The previous prime is 10300205687. The next prime is 10300205723. The reversal of 10300205720 is 2750200301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10300205692 and 10300205701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300205723) 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, 102152 + ... + 176168.

It is an arithmetic number, because the mean of its divisors is an integer number (284784255).

Almost surely, 2^10300205720 is an apocalyptic number.

10300205720 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 10300205720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13669644240).

10300205720 is an abundant number, since it is smaller than the sum of its proper divisors (17039082760).

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

10300205720 is a wasteful number, since it uses less digits than its factorization.

10300205720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74113 (or 74102 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The spelling of 10300205720 in words is "ten billion, three hundred million, two hundred five thousand, seven hundred twenty".