105428334906080 has 96 divisors (see below), whose sum is σ = 249748277184000. Its totient is φ = 42057365432832.

The previous prime is 105428334906023. The next prime is 105428334906091. The reversal of 105428334906080 is 80609433824501.

It is a super-2 number, since 2×105428334906080² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112123331 + ... + 113059709.

It is an arithmetic number, because the mean of its divisors is an integer number (2601544554000).

Almost surely, 2^{105428334906080} is an apocalyptic number.

105428334906080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105428334906080 is an abundant number, since it is smaller than the sum of its proper divisors (144319942277920).

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

105428334906080 is a wasteful number, since it uses less digits than its factorization.

105428334906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938296 (or 938288 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The spelling of 105428334906080 in words is "one hundred five trillion, four hundred twenty-eight billion, three hundred thirty-four million, nine hundred six thousand, eighty".