109205720786064 has 320 divisors, whose sum is σ = 359511389798400. Its totient is φ = 27808165085184.

The previous prime is 109205720786059. The next prime is 109205720786069. The reversal of 109205720786064 is 460687027502901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (109205720786059) and next prime (109205720786069).

It is a super-2 number, since 2×109205720786064² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 109205720785995 and 109205720786013.

It is not an unprimeable number, because it can be changed into a prime (109205720786069) 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, 242769484 + ... + 243218900.

It is an arithmetic number, because the mean of its divisors is an integer number (1123473093120).

Almost surely, 2^{109205720786064} is an apocalyptic number.

109205720786064 is a gapful number since it is divisible by the number (14) 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 109205720786064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179755694899200).

109205720786064 is an abundant number, since it is smaller than the sum of its proper divisors (250305669012336).

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

109205720786064 is a wasteful number, since it uses less digits than its factorization.

109205720786064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451710 (or 451704 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 109205720786064 in words is "one hundred nine trillion, two hundred five billion, seven hundred twenty million, seven hundred eighty-six thousand, sixty-four".