105612394728960 has 480 divisors, whose sum is σ = 428213208975552. Its totient is φ = 23551194562560.

The previous prime is 105612394728917. The next prime is 105612394728991. The reversal of 105612394728960 is 69827493216501.

105612394728960 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 1 + 23 + 9 + 472 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×105612394728960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1373359 + ... + 14598318.

It is a 1-persistent number, because it is pandigital, but 2⋅105612394728960 = 211224789457920 is not.

Almost surely, 2^{105612394728960} is an apocalyptic number.

105612394728960 is a gapful number since it is divisible by the number (10) 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 105612394728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214106604487776).

105612394728960 is an abundant number, since it is smaller than the sum of its proper divisors (322600814246592).

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

105612394728960 is a wasteful number, since it uses less digits than its factorization.

105612394728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15971754 (or 15971735 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 105612394728960 in words is "one hundred five trillion, six hundred twelve billion, three hundred ninety-four million, seven hundred twenty-eight thousand, nine hundred sixty".