105033462016 has 36 divisors (see below), whose sum is σ = 239607589312. Its totient is φ = 45014340096.

The previous prime is 105033462011. The next prime is 105033462047. The reversal of 105033462016 is 610264330501.

105033462016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105033462016² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105033462011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29304420 + ... + 29308003.

Almost surely, 2^105033462016 is an apocalyptic number.

105033462016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105033462016 is an abundant number, since it is smaller than the sum of its proper divisors (134574127296).

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

105033462016 is an frugal number, since it uses more digits than its factorization.

105033462016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58612446 (or 58612432 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 105033462016 its reverse (610264330501), we get a palindrome (715297792517).

The spelling of 105033462016 in words is "one hundred five billion, thirty-three million, four hundred sixty-two thousand, sixteen".