105442414320 has 160 divisors (see below), whose sum is σ = 346263337728. Its totient is φ = 26451431424.

The previous prime is 105442414313. The next prime is 105442414339. The reversal of 105442414320 is 23414244501.

It is a super-2 number, since 2×105442414320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 11039787 + ... + 11049333.

Almost surely, 2^105442414320 is an apocalyptic number.

105442414320 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 105442414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173131668864).

105442414320 is an abundant number, since it is smaller than the sum of its proper divisors (240820923408).

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

105442414320 is a wasteful number, since it uses less digits than its factorization.

105442414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12287 (or 12281 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 105442414320 its reverse (23414244501), we get a palindrome (128856658821).

The spelling of 105442414320 in words is "one hundred five billion, four hundred forty-two million, four hundred fourteen thousand, three hundred twenty".