105578032032048 has 80 divisors (see below), whose sum is σ = 275848398322560. Its totient is φ = 34792129439232.

The previous prime is 105578032032047. The next prime is 105578032032071. The reversal of 105578032032048 is 840230230875501.

It is a super-2 number, since 2×105578032032048² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 105578032031988 and 105578032032006.

It is not an unprimeable number, because it can be changed into a prime (105578032032047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27246015 + ... + 30878817.

It is an arithmetic number, because the mean of its divisors is an integer number (3448104979032).

Almost surely, 2^{105578032032048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105578032032048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137924199161280).

105578032032048 is an abundant number, since it is smaller than the sum of its proper divisors (170270366290512).

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

105578032032048 is a wasteful number, since it uses less digits than its factorization.

105578032032048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639706 (or 3639700 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 105578032032048 in words is "one hundred five trillion, five hundred seventy-eight billion, thirty-two million, thirty-two thousand, forty-eight".