100782214544 has 60 divisors (see below), whose sum is σ = 214781005740. Its totient is φ = 45778022400.

The previous prime is 100782214529. The next prime is 100782214601. The reversal of 100782214544 is 445412287001.

It can be written as a sum of positive squares in 2 ways, for example, as 30620800144 + 70161414400 = 174988^2 + 264880^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100782214498 and 100782214507.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2865224 + ... + 2900184.

It is an arithmetic number, because the mean of its divisors is an integer number (3579683429).

Almost surely, 2^100782214544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100782214544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107390502870).

100782214544 is an abundant number, since it is smaller than the sum of its proper divisors (113998791196).

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

100782214544 is a wasteful number, since it uses less digits than its factorization.

100782214544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36480 (or 36463 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The spelling of 100782214544 in words is "one hundred billion, seven hundred eighty-two million, two hundred fourteen thousand, five hundred forty-four".