105403798080 has 756 divisors, whose sum is σ = 445316206140. Its totient is φ = 22813249536.

The previous prime is 105403798051. The next prime is 105403798091. The reversal of 105403798080 is 80897304501.

105403798080 is a `hidden beast` number, since 10 + 540 + 3 + 7 + 98 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26501235264 + 78902562816 = 162792^2 + 280896^2 .

It is a super-2 number, since 2×105403798080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 50943286 + ... + 50945354.

Almost surely, 2^105403798080 is an apocalyptic number.

105403798080 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 105403798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222658103070).

105403798080 is an abundant number, since it is smaller than the sum of its proper divisors (339912408060).

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

105403798080 is a wasteful number, since it uses less digits than its factorization.

105403798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 105403798080 in words is "one hundred five billion, four hundred three million, seven hundred ninety-eight thousand, eighty".