105414410515440 has 160 divisors (see below), whose sum is σ = 351927671187456. Its totient is φ = 25947741127680.

The previous prime is 105414410515429. The next prime is 105414410515441. The reversal of 105414410515440 is 44515014414501.

It is a super-2 number, since 2×105414410515440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105414410515441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220241985 + ... + 220720095.

Almost surely, 2^{105414410515440} is an apocalyptic number.

105414410515440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105414410515440 is an abundant number, since it is smaller than the sum of its proper divisors (246513260672016).

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

105414410515440 is a wasteful number, since it uses less digits than its factorization.

105414410515440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548807 (or 548801 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

Adding to 105414410515440 its reverse (44515014414501), we get a palindrome (149929424929941).

The spelling of 105414410515440 in words is "one hundred five trillion, four hundred fourteen billion, four hundred ten million, five hundred fifteen thousand, four hundred forty".