5308462080100 has 81 divisors (see below), whose sum is σ = 12237734625697. Its totient is φ = 1998332385280.

The previous prime is 5308462080073. The next prime is 5308462080113. The reversal of 5308462080100 is 10802648035.

It is a happy number.

The square root of 5308462080100 is 2304010.

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

It can be written as a sum of positive squares in 13 ways, for example, as 564743232036 + 4743718848064 = 751494^2 + 2178008^2 .

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 5308462080100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 391674924 + ... + 391688476.

Almost surely, 2^{5308462080100} is an apocalyptic number.

5308462080100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5308462080100 is the 2304010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5308462080100

5308462080100 is an abundant number, since it is smaller than the sum of its proper divisors (6929272545597).

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

5308462080100 is an equidigital number, since it uses as much as digits as its factorization.

5308462080100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27154 (or 13577 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 5308462080100 in words is "five trillion, three hundred eight billion, four hundred sixty-two million, eighty thousand, one hundred".