105016611616 has 48 divisors (see below), whose sum is σ = 236338857216. Its totient is φ = 44997313536.

The previous prime is 105016611613. The next prime is 105016611643. The reversal of 105016611616 is 616116610501.

It is a super-2 number, since 2×105016611616² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105016611613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030345 + ... + 1127671.

It is an arithmetic number, because the mean of its divisors is an integer number (4923726192).

Almost surely, 2^105016611616 is an apocalyptic number.

105016611616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105016611616 is an abundant number, since it is smaller than the sum of its proper divisors (131322245600).

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

105016611616 is an equidigital number, since it uses as much as digits as its factorization.

105016611616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102161 (or 102153 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 105016611616 in words is "one hundred five billion, sixteen million, six hundred eleven thousand, six hundred sixteen".