126387360100 has 81 divisors (see below), whose sum is σ = 278641187307. Its totient is φ = 49760023680.

The previous prime is 126387360059. The next prime is 126387360107. The reversal of 126387360100 is 1063783621.

The square root of 126387360100 is 355510.

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 691584804 + 125695775296 = 26298^2 + 354536^2 .

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 126387360100.

It is not an unprimeable number, because it can be changed into a prime (126387360107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 259522057 + ... + 259522543.

Almost surely, 2^126387360100 is an apocalyptic number.

126387360100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126387360100 is the 355510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126387360100

126387360100 is an abundant number, since it is smaller than the sum of its proper divisors (152253827207).

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

126387360100 is an frugal number, since it uses more digits than its factorization.

126387360100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 126387360100 in words is "one hundred twenty-six billion, three hundred eighty-seven million, three hundred sixty thousand, one hundred".