107844784992 has 384 divisors, whose sum is σ = 378115153920. Its totient is φ = 29253519360.

The previous prime is 107844784991. The next prime is 107844785017. The reversal of 107844784992 is 299487448701.

107844784992 is a `hidden beast` number, since 1 + 0 + 78 + 4 + 4 + 78 + 499 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107844784991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9931438 + ... + 9942290.

It is an arithmetic number, because the mean of its divisors is an integer number (984674880).

Almost surely, 2^107844784992 is an apocalyptic number.

107844784992 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 107844784992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189057576960).

107844784992 is an abundant number, since it is smaller than the sum of its proper divisors (270270368928).

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

107844784992 is a wasteful number, since it uses less digits than its factorization.

107844784992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10963 (or 10949 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 107844784992 in words is "one hundred seven billion, eight hundred forty-four million, seven hundred eighty-four thousand, nine hundred ninety-two".