10305227700 has 144 divisors (see below), whose sum is σ = 34198366720. Its totient is φ = 2659392000.

The previous prime is 10305227693. The next prime is 10305227707. The reversal of 10305227700 is 772250301.

It is an interprime number because it is at equal distance from previous prime (10305227693) and next prime (10305227707).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305227707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22140 + ... + 145260.

Almost surely, 2^10305227700 is an apocalyptic number.

10305227700 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 10305227700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17099183360).

10305227700 is an abundant number, since it is smaller than the sum of its proper divisors (23893139020).

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

10305227700 is a wasteful number, since it uses less digits than its factorization.

10305227700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123175 (or 123162 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 10305227700 in words is "ten billion, three hundred five million, two hundred twenty-seven thousand, seven hundred".