10105216 has 32 divisors (see below), whose sum is σ = 21964680. Its totient is φ = 4592640.

The previous prime is 10105213. The next prime is 10105223. The reversal of 10105216 is 61250101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10105216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2181 + ... + 4996.

Almost surely, 2^10105216 is an apocalyptic number.

10105216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10105216 is an abundant number, since it is smaller than the sum of its proper divisors (11859464).

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

10105216 is an equidigital number, since it uses as much as digits as its factorization.

10105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7202 (or 7190 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 10105216 is about 3178.8702395663. The cubic root of 10105216 is about 216.1964376683.

Adding to 10105216 its reverse (61250101), we get a palindrome (71355317).

It can be divided in two parts, 1010 and 5216, that added together give a palindrome (6226).

The spelling of 10105216 in words is "ten million, one hundred five thousand, two hundred sixteen".