105355402544 has 160 divisors (see below), whose sum is σ = 245740224000. Its totient is φ = 43705992960.

The previous prime is 105355402541. The next prime is 105355402547. The reversal of 105355402544 is 445204553501.

105355402544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105355402541) and next prime (105355402547).

It is a super-2 number, since 2×105355402544² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105355402498 and 105355402507.

It is not an unprimeable number, because it can be changed into a prime (105355402541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42843587 + ... + 42846045.

It is an arithmetic number, because the mean of its divisors is an integer number (1535876400).

Almost surely, 2^105355402544 is an apocalyptic number.

105355402544 is a gapful number since it is divisible by the number (14) 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 105355402544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122870112000).

105355402544 is an abundant number, since it is smaller than the sum of its proper divisors (140384821456).

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

105355402544 is a wasteful number, since it uses less digits than its factorization.

105355402544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 38.

The spelling of 105355402544 in words is "one hundred five billion, three hundred fifty-five million, four hundred two thousand, five hundred forty-four".