103179681792 has 816 divisors, whose sum is σ = 366411601920. Its totient is φ = 28665446400.

The previous prime is 103179681779. The next prime is 103179681821. The reversal of 103179681792 is 297186971301.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3328376817 + ... + 3328376847.

Almost surely, 2^103179681792 is an apocalyptic number.

103179681792 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 103179681792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183205800960).

103179681792 is an abundant number, since it is smaller than the sum of its proper divisors (263231920128).

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

103179681792 is an frugal number, since it uses more digits than its factorization.

103179681792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 103179681792 in words is "one hundred three billion, one hundred seventy-nine million, six hundred eighty-one thousand, seven hundred ninety-two".