105610016 has 12 divisors (see below), whose sum is σ = 207919782. Its totient is φ = 52804992.

The previous prime is 105610013. The next prime is 105610019. The reversal of 105610016 is 610016501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105610013) and next prime (105610019).

It can be written as a sum of positive squares in only one way, i.e., 104121616 + 1488400 = 10204^2 + 1220^2 .

It is a super-2 number, since 2×105610016² = 22306950959040512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105610016.

It is not an unprimeable number, because it can be changed into a prime (105610013) by changing a digit.

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 as a sum of consecutive naturals, namely, 1650125 + ... + 1650188.

Almost surely, 2^105610016 is an apocalyptic number.

105610016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105610016 is a deficient number, since it is larger than the sum of its proper divisors (102309766).

105610016 is an equidigital number, since it uses as much as digits as its factorization.

105610016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300323 (or 3300315 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 105610016 is about 10276.6733917158. The cubic root of 105610016 is about 472.6812436087.

Adding to 105610016 its reverse (610016501), we get a palindrome (715626517).

The spelling of 105610016 in words is "one hundred five million, six hundred ten thousand, sixteen".