105738720732 has 192 divisors, whose sum is σ = 301650048000. Its totient is φ = 31882346496.

The previous prime is 105738720721. The next prime is 105738720739. The reversal of 105738720732 is 237027837501.

It is a happy number.

105738720732 is a `hidden beast` number, since 1 + 0 + 573 + 8 + 7 + 2 + 0 + 73 + 2 = 666.

It is a super-2 number, since 2×105738720732² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105738720739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31761244 + ... + 31764572.

It is an arithmetic number, because the mean of its divisors is an integer number (1571094000).

Almost surely, 2^105738720732 is an apocalyptic number.

105738720732 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 105738720732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150825024000).

105738720732 is an abundant number, since it is smaller than the sum of its proper divisors (195911327268).

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

105738720732 is a wasteful number, since it uses less digits than its factorization.

105738720732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 105738720732 in words is "one hundred five billion, seven hundred thirty-eight million, seven hundred twenty thousand, seven hundred thirty-two".