108236019763872 has 5184 divisors, whose sum is σ = 467632177689600. Its totient is φ = 24210656870400.

The previous prime is 108236019763811. The next prime is 108236019763891. The reversal of 108236019763872 is 278367910632801.

108236019763872 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 3 + 60 + 197 + 6 + 387 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 863 ways as a sum of consecutive naturals, for example, 992991006954 + ... + 992991007062.

It is an arithmetic number, because the mean of its divisors is an integer number (90206824400).

Almost surely, 2^{108236019763872} is an apocalyptic number.

108236019763872 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 108236019763872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233816088844800).

108236019763872 is an abundant number, since it is smaller than the sum of its proper divisors (359396157925728).

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

108236019763872 is a wasteful number, since it uses less digits than its factorization.

108236019763872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 108236019763872 in words is "one hundred eight trillion, two hundred thirty-six billion, nineteen million, seven hundred sixty-three thousand, eight hundred seventy-two".