106205016 has 32 divisors (see below), whose sum is σ = 265809600. Its totient is φ = 35362080.

The previous prime is 106204963. The next prime is 106205027. The reversal of 106205016 is 610502601.

It is a happy number.

It is a super-2 number, since 2×106205016² = 22559010847120512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106204983 and 106205001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26215 + ... + 29993.

It is an arithmetic number, because the mean of its divisors is an integer number (8306550).

Almost surely, 2^106205016 is an apocalyptic number.

It is an amenable number.

106205016 is an abundant number, since it is smaller than the sum of its proper divisors (159604584).

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

106205016 is a wasteful number, since it uses less digits than its factorization.

106205016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4959 (or 4955 counting only the distinct ones).

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

The square root of 106205016 is about 10305.5817885261. The cubic root of 106205016 is about 473.5672669389.

Adding to 106205016 its reverse (610502601), we get a palindrome (716707617).

It can be divided in two parts, 10 and 6205016, that added together give a palindrome (6205026).

The spelling of 106205016 in words is "one hundred six million, two hundred five thousand, sixteen".