100287813888 has 216 divisors, whose sum is σ = 293233711680. Its totient is φ = 32960655360.

The previous prime is 100287813877. The next prime is 100287813889. The reversal of 100287813888 is 888318782001.

100287813888 is a `hidden beast` number, since 100 + 2 + 87 + 81 + 388 + 8 = 666.

It is a super-2 number, since 2×100287813888² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100287813889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63836143 + ... + 63837713.

It is an arithmetic number, because the mean of its divisors is an integer number (1357563480).

Almost surely, 2^100287813888 is an apocalyptic number.

100287813888 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 100287813888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146616855840).

100287813888 is an abundant number, since it is smaller than the sum of its proper divisors (192945897792).

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

100287813888 is a wasteful number, since it uses less digits than its factorization.

100287813888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 100287813888 in words is "one hundred billion, two hundred eighty-seven million, eight hundred thirteen thousand, eight hundred eighty-eight".