105436649472 has 768 divisors, whose sum is σ = 368639631360. Its totient is φ = 26011238400.

The previous prime is 105436649453. The next prime is 105436649531. The reversal of 105436649472 is 274946634501.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×105436649472² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1444337628 + ... + 1444337700.

It is an arithmetic number, because the mean of its divisors is an integer number (479999520).

Almost surely, 2^105436649472 is an apocalyptic number.

105436649472 is a gapful number since it is divisible by the number (12) 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 105436649472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184319815680).

105436649472 is an abundant number, since it is smaller than the sum of its proper divisors (263202981888).

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

105436649472 is a wasteful number, since it uses less digits than its factorization.

105436649472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 105436649472 in words is "one hundred five billion, four hundred thirty-six million, six hundred forty-nine thousand, four hundred seventy-two".