105206016 has 36 divisors (see below), whose sum is σ = 280003472. Its totient is φ = 35068416.

The previous prime is 105205987. The next prime is 105206039. The reversal of 105206016 is 610602501.

It is a happy number.

It is a super-2 number, since 2×105206016² = 22136611605184512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105205983 and 105206001.

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, 67726 + ... + 69261.

Almost surely, 2^105206016 is an apocalyptic number.

105206016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105206016 is an abundant number, since it is smaller than the sum of its proper divisors (174797456).

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

105206016 is an equidigital number, since it uses as much as digits as its factorization.

105206016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137006 (or 136992 counting only the distinct ones).

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

The square root of 105206016 is about 10256.9983913424. The cubic root of 105206016 is about 472.0777426287.

Adding to 105206016 its reverse (610602501), we get a palindrome (715808517).

The spelling of 105206016 in words is "one hundred five million, two hundred six thousand, sixteen".