105356512416 has 48 divisors (see below), whose sum is σ = 276577610400. Its totient is φ = 35116708608.

The previous prime is 105356512403. The next prime is 105356512447. The reversal of 105356512416 is 614215653501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105356512416² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 2886730 + ... + 2922998.

It is an arithmetic number, because the mean of its divisors is an integer number (5762033550).

Almost surely, 2^105356512416 is an apocalyptic number.

105356512416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105356512416 is an abundant number, since it is smaller than the sum of its proper divisors (171221097984).

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

105356512416 is a wasteful number, since it uses less digits than its factorization.

105356512416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66541 (or 66533 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 105356512416 in words is "one hundred five billion, three hundred fifty-six million, five hundred twelve thousand, four hundred sixteen".