105431988288064 has 189 divisors, whose sum is σ = 217339036632081. Its totient is φ = 50745316976640.

The previous prime is 105431988288019. The next prime is 105431988288079. The reversal of 105431988288064 is 460882889134501.

The square root of 105431988288064 is 10268008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 73403632678464 + 32028355609600 = 8567592^2 + 5659360^2 .

It is a super-2 number, since 2×105431988288064² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 265571758714 + ... + 265571759110.

Almost surely, 2^{105431988288064} is an apocalyptic number.

105431988288064 is the 10268008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105431988288064

105431988288064 is an abundant number, since it is smaller than the sum of its proper divisors (111907048344017).

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

105431988288064 is an frugal number, since it uses more digits than its factorization.

105431988288064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 67.

The spelling of 105431988288064 in words is "one hundred five trillion, four hundred thirty-one billion, nine hundred eighty-eight million, two hundred eighty-eight thousand, sixty-four".