100282848768 has 640 divisors, whose sum is σ = 340349644800. Its totient is φ = 28952100864.

The previous prime is 100282848667. The next prime is 100282848791. The reversal of 100282848768 is 867848282001.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165210321 + ... + 165210927.

It is an arithmetic number, because the mean of its divisors is an integer number (531796320).

Almost surely, 2^100282848768 is an apocalyptic number.

100282848768 is a gapful number since it is divisible by the number (18) 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 100282848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170174822400).

100282848768 is an abundant number, since it is smaller than the sum of its proper divisors (240066796032).

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

100282848768 is a wasteful number, since it uses less digits than its factorization.

100282848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 100282848768 in words is "one hundred billion, two hundred eighty-two million, eight hundred forty-eight thousand, seven hundred sixty-eight".