105424155440 has 80 divisors (see below), whose sum is σ = 258333688800. Its totient is φ = 39900358656.

The previous prime is 105424155437. The next prime is 105424155443. The reversal of 105424155440 is 44551424501.

It is an interprime number because it is at equal distance from previous prime (105424155437) and next prime (105424155443).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105424155440² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105424155440.

It is not an unprimeable number, because it can be changed into a prime (105424155443) 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, 1186814 + ... + 1272546.

It is an arithmetic number, because the mean of its divisors is an integer number (3229171110).

Almost surely, 2^105424155440 is an apocalyptic number.

105424155440 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 105424155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129166844400).

105424155440 is an abundant number, since it is smaller than the sum of its proper divisors (152909533360).

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

105424155440 is a wasteful number, since it uses less digits than its factorization.

105424155440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86574 (or 86568 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

Adding to 105424155440 its reverse (44551424501), we get a palindrome (149975579941).

The spelling of 105424155440 in words is "one hundred five billion, four hundred twenty-four million, one hundred fifty-five thousand, four hundred forty".