105356563116 has 24 divisors (see below), whose sum is σ = 280950835200. Its totient is φ = 30101875152.

The previous prime is 105356563097. The next prime is 105356563121. The reversal of 105356563116 is 611365653501.

It is a super-2 number, since 2×105356563116² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 7 ways as a sum of consecutive naturals, for example, 627122316 + ... + 627122483.

It is an arithmetic number, because the mean of its divisors is an integer number (11706284800).

Almost surely, 2^105356563116 is an apocalyptic number.

It is an amenable number.

105356563116 is an abundant number, since it is smaller than the sum of its proper divisors (175594272084).

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

105356563116 is a wasteful number, since it uses less digits than its factorization.

105356563116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254244813 (or 1254244811 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The spelling of 105356563116 in words is "one hundred five billion, three hundred fifty-six million, five hundred sixty-three thousand, one hundred sixteen".