141096103680 has 864 divisors, whose sum is σ = 561699048960. Its totient is φ = 30005821440.

The previous prime is 141096103627. The next prime is 141096103693. The reversal of 141096103680 is 86301690141.

141096103680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141096103680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218077117 + ... + 218077763.

It is an arithmetic number, because the mean of its divisors is an integer number (650114640).

Almost surely, 2^141096103680 is an apocalyptic number.

141096103680 is a gapful number since it is divisible by the number (10) 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 141096103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280849524480).

141096103680 is an abundant number, since it is smaller than the sum of its proper divisors (420602945280).

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

141096103680 is a wasteful number, since it uses less digits than its factorization.

141096103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 141096103680 in words is "one hundred forty-one billion, ninety-six million, one hundred three thousand, six hundred eighty".