105414536544 has 48 divisors (see below), whose sum is σ = 276735533760. Its totient is φ = 35135337600.

The previous prime is 105414536543. The next prime is 105414536587. The reversal of 105414536544 is 445635414501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105414536544² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105414536496 and 105414536505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105414536543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1388727 + ... + 1462665.

It is an arithmetic number, because the mean of its divisors is an integer number (5765323620).

Almost surely, 2^105414536544 is an apocalyptic number.

It is an amenable number.

105414536544 is an abundant number, since it is smaller than the sum of its proper divisors (171320997216).

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

105414536544 is a wasteful number, since it uses less digits than its factorization.

105414536544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88803 (or 88795 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 105414536544 in words is "one hundred five billion, four hundred fourteen million, five hundred thirty-six thousand, five hundred forty-four".