107052545424400 has 135 divisors (see below), whose sum is σ = 266383241637591. Its totient is φ = 41342113693440.

The previous prime is 107052545424317. The next prime is 107052545424401. The reversal of 107052545424400 is 4424545250701.

The square root of 107052545424400 is 10346620.

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

107052545424400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1471495154704 + 105581050269696 = 1213052^2 + 10275264^2 .

It is a super-2 number, since 2×107052545424400² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107052545424401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6001030681 + ... + 6001048519.

Almost surely, 2^{107052545424400} is an apocalyptic number.

107052545424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107052545424400 is the 10346620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107052545424400

107052545424400 is an abundant number, since it is smaller than the sum of its proper divisors (159330696213191).

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

107052545424400 is an frugal number, since it uses more digits than its factorization.

107052545424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35754 (or 17875 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 43.

The spelling of 107052545424400 in words is "one hundred seven trillion, fifty-two billion, five hundred forty-five million, four hundred twenty-four thousand, four hundred".