10245432046600 has 96 divisors (see below), whose sum is σ = 24162581565000. Its totient is φ = 4039415101440.

The previous prime is 10245432046561. The next prime is 10245432046601. The reversal of 10245432046600 is 664023454201.

It can be written as a sum of positive squares in 12 ways, for example, as 3079456406244 + 7165975640356 = 1754838^2 + 2676934^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10245432046600.

It is not an unprimeable number, because it can be changed into a prime (10245432046601) 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 23 ways as a sum of consecutive naturals, for example, 22388886 + ... + 22841914.

Almost surely, 2^{10245432046600} is an apocalyptic number.

10245432046600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10245432046600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12081290782500).

10245432046600 is an abundant number, since it is smaller than the sum of its proper divisors (13917149518400).

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

10245432046600 is a wasteful number, since it uses less digits than its factorization.

10245432046600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454667 (or 454658 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 10245432046600 in words is "ten trillion, two hundred forty-five billion, four hundred thirty-two million, forty-six thousand, six hundred".