105195396009480 has 768 divisors, whose sum is σ = 388280727014400. Its totient is φ = 22708745902080.

The previous prime is 105195396009427. The next prime is 105195396009497. The reversal of 105195396009480 is 84900693591501.

It is a super-2 number, since 2×105195396009480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 191 ways as a sum of consecutive naturals, for example, 909913359 + ... + 910028961.

It is an arithmetic number, because the mean of its divisors is an integer number (505573863300).

Almost surely, 2^{105195396009480} is an apocalyptic number.

105195396009480 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 105195396009480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194140363507200).

105195396009480 is an abundant number, since it is smaller than the sum of its proper divisors (283085331004920).

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

105195396009480 is a wasteful number, since it uses less digits than its factorization.

105195396009480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115794 (or 115783 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 60.

The spelling of 105195396009480 in words is "one hundred five trillion, one hundred ninety-five billion, three hundred ninety-six million, nine thousand, four hundred eighty".