105722650000 has 480 divisors, whose sum is σ = 300370775040. Its totient is φ = 35640000000.

The previous prime is 105722649983. The next prime is 105722650031. The reversal of 105722650000 is 56227501.

It is a super-2 number, since 2×105722650000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 700149925 + ... + 700150075.

It is an arithmetic number, because the mean of its divisors is an integer number (625772448).

Almost surely, 2^105722650000 is an apocalyptic number.

105722650000 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 105722650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150185387520).

105722650000 is an abundant number, since it is smaller than the sum of its proper divisors (194648125040).

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

105722650000 is a wasteful number, since it uses less digits than its factorization.

105722650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

Adding to 105722650000 its reverse (56227501), we get a palindrome (105778877501).

The spelling of 105722650000 in words is "one hundred five billion, seven hundred twenty-two million, six hundred fifty thousand".