100417450527680 has 224 divisors, whose sum is σ = 281243519686080. Its totient is φ = 33668109434880.

The previous prime is 100417450527643. The next prime is 100417450527701. The reversal of 100417450527680 is 86725054714001.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 38880416 + ... + 41382624.

It is an arithmetic number, because the mean of its divisors is an integer number (1255551427170).

Almost surely, 2^{100417450527680} is an apocalyptic number.

100417450527680 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 100417450527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140621759843040).

100417450527680 is an abundant number, since it is smaller than the sum of its proper divisors (180826069158400).

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

100417450527680 is a wasteful number, since it uses less digits than its factorization.

100417450527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503127 (or 2503117 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 50.

The spelling of 100417450527680 in words is "one hundred trillion, four hundred seventeen billion, four hundred fifty million, five hundred twenty-seven thousand, six hundred eighty".