105045708440 has 96 divisors (see below), whose sum is σ = 259173820800. Its totient is φ = 38270791680.

The previous prime is 105045708413. The next prime is 105045708497. The reversal of 105045708440 is 44807540501.

It is a super-2 number, since 2×105045708440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105045708394 and 105045708403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211796 + ... + 504924.

It is an arithmetic number, because the mean of its divisors is an integer number (2699727300).

Almost surely, 2^105045708440 is an apocalyptic number.

105045708440 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 105045708440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129586910400).

105045708440 is an abundant number, since it is smaller than the sum of its proper divisors (154128112360).

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

105045708440 is a wasteful number, since it uses less digits than its factorization.

105045708440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293205 (or 293184 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 38.

The spelling of 105045708440 in words is "one hundred five billion, forty-five million, seven hundred eight thousand, four hundred forty".