10485874476100 has 27 divisors (see below), whose sum is σ = 22754417882077. Its totient is φ = 4194336837680.

The previous prime is 10485874476089. The next prime is 10485874476109. The reversal of 10485874476100 is 167447858401.

The square root of 10485874476100 is 3238190.

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

It can be written as a sum of positive squares in only one way, i.e., 3774914811396 + 6710959664704 = 1942914^2 + 2590552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10485874476109) 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 8 ways as a sum of consecutive naturals, for example, 32219991 + ... + 32543809.

Almost surely, 2^{10485874476100} is an apocalyptic number.

10485874476100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10485874476100 is the 3238190-th square number.

It is an amenable number.

10485874476100 is an abundant number, since it is smaller than the sum of its proper divisors (12268543405977).

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

10485874476100 is an frugal number, since it uses more digits than its factorization.

10485874476100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647652 (or 323826 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 55.

The spelling of 10485874476100 in words is "ten trillion, four hundred eighty-five billion, eight hundred seventy-four million, four hundred seventy-six thousand, one hundred".