105772430304 has 288 divisors, whose sum is σ = 324441936000. Its totient is φ = 32585628672.

The previous prime is 105772430299. The next prime is 105772430347. The reversal of 105772430304 is 403034277501.

105772430304 is a `hidden beast` number, since 1 + 0 + 577 + 24 + 30 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105772430304² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44874694 + ... + 44877050.

It is an arithmetic number, because the mean of its divisors is an integer number (1126534500).

Almost surely, 2^105772430304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105772430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162220968000).

105772430304 is an abundant number, since it is smaller than the sum of its proper divisors (218669505696).

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

105772430304 is a wasteful number, since it uses less digits than its factorization.

105772430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 105772430304 in words is "one hundred five billion, seven hundred seventy-two million, four hundred thirty thousand, three hundred four".