107582947728400 has 45 divisors (see below), whose sum is σ = 258468530303613. Its totient is φ = 43033096113600.

The previous prime is 107582947728371. The next prime is 107582947728401. The reversal of 107582947728400 is 4827749285701.

The square root of 107582947728400 is 10372220.

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., 38729861182224 + 68853086546176 = 6223332^2 + 8297776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107582947728401) 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, 207185095 + ... + 207703705.

Almost surely, 2^{107582947728400} is an apocalyptic number.

107582947728400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107582947728400 is the 10372220-th square number.

It is an amenable number.

107582947728400 is an abundant number, since it is smaller than the sum of its proper divisors (150885582575213).

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

107582947728400 is an frugal number, since it uses more digits than its factorization.

107582947728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037240 (or 518618 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 64.

The spelling of 107582947728400 in words is "one hundred seven trillion, five hundred eighty-two billion, nine hundred forty-seven million, seven hundred twenty-eight thousand, four hundred".