10277728104 has 64 divisors (see below), whose sum is σ = 29650083840. Its totient is φ = 2907979200.

The previous prime is 10277728103. The next prime is 10277728117. The reversal of 10277728104 is 40182777201.

10277728104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10277728103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 279672 + ... + 314279.

It is an arithmetic number, because the mean of its divisors is an integer number (463282560).

Almost surely, 2^10277728104 is an apocalyptic number.

10277728104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10277728104 is an abundant number, since it is smaller than the sum of its proper divisors (19372355736).

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

10277728104 is a wasteful number, since it uses less digits than its factorization.

10277728104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594070 (or 594066 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 39.

The spelling of 10277728104 in words is "ten billion, two hundred seventy-seven million, seven hundred twenty-eight thousand, one hundred four".