105413936544 has 672 divisors, whose sum is σ = 371772495360. Its totient is φ = 28781899776.

The previous prime is 105413936519. The next prime is 105413936611. The reversal of 105413936544 is 445639314501.

105413936544 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 13 + 93 + 6 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×105413936544² (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 105413936544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 441062377 + ... + 441062615.

It is an arithmetic number, because the mean of its divisors is an integer number (553232880).

Almost surely, 2^105413936544 is an apocalyptic number.

105413936544 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 105413936544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185886247680).

105413936544 is an abundant number, since it is smaller than the sum of its proper divisors (266358558816).

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

105413936544 is an equidigital number, since it uses as much as digits as its factorization.

105413936544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 105413936544 in words is "one hundred five billion, four hundred thirteen million, nine hundred thirty-six thousand, five hundred forty-four".