107286921043600 has 135 divisors (see below), whose sum is σ = 258494029965801. Its totient is φ = 42792378998400.

The previous prime is 107286921043597. The next prime is 107286921043607. The reversal of 107286921043600 is 6340129682701.

It is a happy number.

The square root of 107286921043600 is 10357940.

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., 38623291575696 + 68663629467904 = 6214764^2 + 8286352^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107286921043607) by changing a digit.

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, 118287674347 + ... + 118287675253.

Almost surely, 2^{107286921043600} is an apocalyptic number.

107286921043600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107286921043600 is the 10357940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107286921043600

107286921043600 is an abundant number, since it is smaller than the sum of its proper divisors (151207108922201).

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

107286921043600 is an frugal number, since it uses more digits than its factorization.

107286921043600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 107286921043600 in words is "one hundred seven trillion, two hundred eighty-six billion, nine hundred twenty-one million, forty-three thousand, six hundred".