105991918096 has 45 divisors (see below), whose sum is σ = 206902354221. Its totient is φ = 52600724352.

The previous prime is 105991918093. The next prime is 105991918177. The reversal of 105991918096 is 690819199501.

The square root of 105991918096 is 325564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 96867847696 + 9124070400 = 311236^2 + 95520^2 .

It is a super-2 number, since 2×105991918096² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105991918096.

It is not an unprimeable number, because it can be changed into a prime (105991918091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 259148740 + ... + 259149148.

Almost surely, 2^105991918096 is an apocalyptic number.

105991918096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105991918096 is the 325564-th square number.

It is an amenable number.

105991918096 is a deficient number, since it is larger than the sum of its proper divisors (100910436125).

105991918096 is an frugal number, since it uses more digits than its factorization.

105991918096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 58.

The spelling of 105991918096 in words is "one hundred five billion, nine hundred ninety-one million, nine hundred eighteen thousand, ninety-six".