107219045615616 has 1152 divisors, whose sum is σ = 359834836233600. Its totient is φ = 30452471562240.

The previous prime is 107219045615543. The next prime is 107219045615651. The reversal of 107219045615616 is 616516540912701.

107219045615616 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 1 + 9 + 0 + 4 + 5 + 6 + 15 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×107219045615616² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30228091155 + ... + 30228094701.

It is an arithmetic number, because the mean of its divisors is an integer number (312356628675).

Almost surely, 2^{107219045615616} is an apocalyptic number.

107219045615616 is a gapful number since it is divisible by the number (16) 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 107219045615616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179917418116800).

107219045615616 is an abundant number, since it is smaller than the sum of its proper divisors (252615790617984).

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

107219045615616 is a wasteful number, since it uses less digits than its factorization.

107219045615616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 107219045615616 in words is "one hundred seven trillion, two hundred nineteen billion, forty-five million, six hundred fifteen thousand, six hundred sixteen".