10473475600 has 405 divisors, whose sum is σ = 31833708327. Its totient is φ = 3301079040.

The previous prime is 10473475561. The next prime is 10473475601. The reversal of 10473475600 is 657437401.

The square root of 10473475600 is 102340.

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 244985104 + 10228490496 = 15652^2 + 101136^2 .

It is a super-2 number, since 2×10473475600² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10473475600.

It is not an unprimeable number, because it can be changed into a prime (10473475601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 243569179 + ... + 243569221.

Almost surely, 2^10473475600 is an apocalyptic number.

10473475600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10473475600 is the 102340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10473475600

10473475600 is an abundant number, since it is smaller than the sum of its proper divisors (21360232727).

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

10473475600 is a wasteful number, since it uses less digits than its factorization.

10473475600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 10473475600 in words is "ten billion, four hundred seventy-three million, four hundred seventy-five thousand, six hundred".