105480467810080 has 384 divisors, whose sum is σ = 277144969651200. Its totient is φ = 37616977981440.

The previous prime is 105480467810063. The next prime is 105480467810119. The reversal of 105480467810080 is 80018764084501.

It is a super-2 number, since 2×105480467810080² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38965816087 + ... + 38965818793.

It is an arithmetic number, because the mean of its divisors is an integer number (721731691800).

Almost surely, 2^{105480467810080} is an apocalyptic number.

105480467810080 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 105480467810080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138572484825600).

105480467810080 is an abundant number, since it is smaller than the sum of its proper divisors (171664501841120).

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

105480467810080 is a wasteful number, since it uses less digits than its factorization.

105480467810080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 52.

The spelling of 105480467810080 in words is "one hundred five trillion, four hundred eighty billion, four hundred sixty-seven million, eight hundred ten thousand, eighty".