10477456872100 has 243 divisors, whose sum is σ = 23807323843779. Its totient is φ = 4002349747200.

The previous prime is 10477456872097. The next prime is 10477456872107. The reversal of 10477456872100 is 127865477401.

It is a happy number.

The square root of 10477456872100 is 3236890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 385246145124 + 10092210726976 = 620682^2 + 3176824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10477456872107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 108015019252 + ... + 108015019348.

Almost surely, 2^{10477456872100} is an apocalyptic number.

10477456872100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10477456872100 is the 3236890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10477456872100

10477456872100 is an abundant number, since it is smaller than the sum of its proper divisors (13329866971679).

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

10477456872100 is an frugal number, since it uses more digits than its factorization.

10477456872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 52.

The spelling of 10477456872100 in words is "ten trillion, four hundred seventy-seven billion, four hundred fifty-six million, eight hundred seventy-two thousand, one hundred".