105006016 has 28 divisors (see below), whose sum is σ = 208698592. Its totient is φ = 52420608.

The previous prime is 105006007. The next prime is 105006023. The reversal of 105006016 is 610600501.

It is a super-2 number, since 2×105006016² = 22052526792384512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105005984 and 105006002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73081 + ... + 74503.

Almost surely, 2^105006016 is an apocalyptic number.

105006016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105006016 is a deficient number, since it is larger than the sum of its proper divisors (103692576).

105006016 is a wasteful number, since it uses less digits than its factorization.

105006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105006016 is about 10247.2443124969. The cubic root of 105006016 is about 471.7784079062.

Adding to 105006016 its reverse (610600501), we get a palindrome (715606517).

The spelling of 105006016 in words is "one hundred five million, six thousand, sixteen".