10305681100 has 72 divisors (see below), whose sum is σ = 26273037168. Its totient is φ = 3459244800.

The previous prime is 10305681091. The next prime is 10305681107. The reversal of 10305681100 is 118650301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10305681107) 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, 346039 + ... + 374638.

It is an arithmetic number, because the mean of its divisors is an integer number (364903294).

Almost surely, 2^10305681100 is an apocalyptic number.

10305681100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10305681100 is an abundant number, since it is smaller than the sum of its proper divisors (15967356068).

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

10305681100 is a wasteful number, since it uses less digits than its factorization.

10305681100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720715 (or 720708 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 10305681100 in words is "ten billion, three hundred five million, six hundred eighty-one thousand, one hundred".