100487054458560 has 2688 divisors, whose sum is σ = 426085488525312. Its totient is φ = 19817312256000.

The previous prime is 100487054458523. The next prime is 100487054458577. The reversal of 100487054458560 is 65854450784001.

It is a super-2 number, since 2×100487054458560² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100487054458560.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 217976256730 + ... + 217976257190.

It is an arithmetic number, because the mean of its divisors is an integer number (158513946624).

Almost surely, 2^{100487054458560} is an apocalyptic number.

100487054458560 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 100487054458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213042744262656).

100487054458560 is an abundant number, since it is smaller than the sum of its proper divisors (325598434066752).

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

100487054458560 is a wasteful number, since it uses less digits than its factorization.

100487054458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 57.

The spelling of 100487054458560 in words is "one hundred trillion, four hundred eighty-seven billion, fifty-four million, four hundred fifty-eight thousand, five hundred sixty".