105921216 has 56 divisors (see below), whose sum is σ = 311393840. Its totient is φ = 35306496.

The previous prime is 105921191. The next prime is 105921217. The reversal of 105921216 is 612129501.

It is a super-2 number, since 2×105921216² = 22438607997837312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105921216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105921217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28921 + ... + 32376.

Almost surely, 2^105921216 is an apocalyptic number.

105921216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105921216 is an abundant number, since it is smaller than the sum of its proper divisors (205472624).

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

105921216 is an equidigital number, since it uses as much as digits as its factorization.

105921216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61318 (or 61302 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 105921216 is about 10291.8033405230. The cubic root of 105921216 is about 473.1450700530.

The spelling of 105921216 in words is "one hundred five million, nine hundred twenty-one thousand, two hundred sixteen".