100819014382872 has 800 divisors, whose sum is σ = 318003780481200. Its totient is φ = 29964784460544.

The previous prime is 100819014382819. The next prime is 100819014382937. The reversal of 100819014382872 is 278283410918001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

100819014382872 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 190 + 1 + 4 + 382 + 8 + 72 = 666.

It is a super-2 number, since 2×100819014382872² (a number of 29 digits) contains 22 as substring.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 100819014382872 = 5814³ + 46512³ = 26163³ + 43605³.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 5306263914879 + ... + 5306263914897.

Almost surely, 2^{100819014382872} is an apocalyptic number.

100819014382872 is a gapful number since it is divisible by the number (12) 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 100819014382872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159001890240600).

100819014382872 is an abundant number, since it is smaller than the sum of its proper divisors (217184766098328).

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

100819014382872 is an frugal number, since it uses more digits than its factorization.

100819014382872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 100819014382872 in words is "one hundred trillion, eight hundred nineteen billion, fourteen million, three hundred eighty-two thousand, eight hundred seventy-two".