10277772010 has 16 divisors (see below), whose sum is σ = 20181807072. Its totient is φ = 3737371600.

The previous prime is 10277772007. The next prime is 10277772017. The reversal of 10277772010 is 1027777201.

10277772010 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 (10277772017) 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 7 ways as a sum of consecutive naturals, for example, 46717036 + ... + 46717255.

It is an arithmetic number, because the mean of its divisors is an integer number (1261362942).

Almost surely, 2^10277772010 is an apocalyptic number.

10277772010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10277772010 is a deficient number, since it is larger than the sum of its proper divisors (9904035062).

10277772010 is a wasteful number, since it uses less digits than its factorization.

10277772010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93434309.

The product of its (nonzero) digits is 9604, while the sum is 34.

It can be divided in two parts, 10277 and 772010, that added together give a palindrome (782287).

The spelling of 10277772010 in words is "ten billion, two hundred seventy-seven million, seven hundred seventy-two thousand, ten".