100224758625700 has 72 divisors (see below), whose sum is σ = 217662424463232. Its totient is φ = 40057706782080.

The previous prime is 100224758625569. The next prime is 100224758625707. The reversal of 100224758625700 is 7526857422001.

It is not an unprimeable number, because it can be changed into a prime (100224758625707) 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 23 ways as a sum of consecutive naturals, for example, 1705720722 + ... + 1705779478.

It is an arithmetic number, because the mean of its divisors is an integer number (3023089228656).

Almost surely, 2^{100224758625700} is an apocalyptic number.

100224758625700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100224758625700 is an abundant number, since it is smaller than the sum of its proper divisors (117437665837532).

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

100224758625700 is a wasteful number, since it uses less digits than its factorization.

100224758625700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72181 (or 72174 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

The spelling of 100224758625700 in words is "one hundred trillion, two hundred twenty-four billion, seven hundred fifty-eight million, six hundred twenty-five thousand, seven hundred".