105989964720 has 320 divisors, whose sum is σ = 348920524800. Its totient is φ = 26576732160.

The previous prime is 105989964683. The next prime is 105989964733. The reversal of 105989964720 is 27469989501.

It is a Cunningham number, because it is equal to 325561²-1.

It is a super-2 number, since 2×105989964720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 39066084 + ... + 39068796.

It is an arithmetic number, because the mean of its divisors is an integer number (1090376640).

Almost surely, 2^105989964720 is an apocalyptic number.

105989964720 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 105989964720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174460262400).

105989964720 is an abundant number, since it is smaller than the sum of its proper divisors (242930560080).

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

105989964720 is a wasteful number, since it uses less digits than its factorization.

105989964720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 105989964720 in words is "one hundred five billion, nine hundred eighty-nine million, nine hundred sixty-four thousand, seven hundred twenty".