105912739296 has 384 divisors, whose sum is σ = 393318374400. Its totient is φ = 26969241600.

The previous prime is 105912739259. The next prime is 105912739297. The reversal of 105912739296 is 692937219501.

105912739296 is a `hidden beast` number, since 1 + 0 + 591 + 27 + 3 + 9 + 29 + 6 = 666.

It is a super-2 number, since 2×105912739296² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105912739297) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2256871 + ... + 2303321.

It is an arithmetic number, because the mean of its divisors is an integer number (1024266600).

Almost surely, 2^105912739296 is an apocalyptic number.

105912739296 is a gapful number since it is divisible by the number (16) 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 105912739296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196659187200).

105912739296 is an abundant number, since it is smaller than the sum of its proper divisors (287405635104).

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

105912739296 is a wasteful number, since it uses less digits than its factorization.

105912739296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46519 (or 46505 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 105912739296 in words is "one hundred five billion, nine hundred twelve million, seven hundred thirty-nine thousand, two hundred ninety-six".