101056432527300 has 144 divisors (see below), whose sum is σ = 308077431782400. Its totient is φ = 25505282217600.

The previous prime is 101056432527293. The next prime is 101056432527311. The reversal of 101056432527300 is 3725234650101.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2721360 + ... + 14474759.

It is an arithmetic number, because the mean of its divisors is an integer number (2139426609600).

Almost surely, 2^{101056432527300} is an apocalyptic number.

101056432527300 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 101056432527300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154038715891200).

101056432527300 is an abundant number, since it is smaller than the sum of its proper divisors (207020999255100).

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

101056432527300 is a wasteful number, since it uses less digits than its factorization.

101056432527300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17197186 (or 17197179 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 101056432527300 in words is "one hundred one trillion, fifty-six billion, four hundred thirty-two million, five hundred twenty-seven thousand, three hundred".