100752782848 has 40 divisors (see below), whose sum is σ = 210061363248. Its totient is φ = 48186107904.

The previous prime is 100752782843. The next prime is 100752782861. The reversal of 100752782848 is 848287257001.

It is a super-2 number, since 2×100752782848² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100752782795 and 100752782804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100752782843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4266111 + ... + 4289662.

Almost surely, 2^100752782848 is an apocalyptic number.

It is an amenable number.

100752782848 is an abundant number, since it is smaller than the sum of its proper divisors (109308580400).

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

100752782848 is an frugal number, since it uses more digits than its factorization.

100752782848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8555814 (or 8555798 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 52.

It can be divided in two parts, 100752 and 782848, that added together give a square (883600 = 940²).

The spelling of 100752782848 in words is "one hundred billion, seven hundred fifty-two million, seven hundred eighty-two thousand, eight hundred forty-eight".