105134016 has 112 divisors (see below), whose sum is σ = 304194464. Its totient is φ = 31850496.

The previous prime is 105133997. The next prime is 105134021. The reversal of 105134016 is 610431501.

It is a super-2 number, since 2×105134016² = 22106322640576512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105133983 and 105134001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181920 + ... + 182496.

It is an arithmetic number, because the mean of its divisors is an integer number (2716022).

Almost surely, 2^105134016 is an apocalyptic number.

105134016 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 105134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152097232).

105134016 is an abundant number, since it is smaller than the sum of its proper divisors (199060448).

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

105134016 is a wasteful number, since it uses less digits than its factorization.

105134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105134016 is about 10253.4879918982. The cubic root of 105134016 is about 471.9700258663.

Adding to 105134016 its reverse (610431501), we get a palindrome (715565517).

The spelling of 105134016 in words is "one hundred five million, one hundred thirty-four thousand, sixteen".