105882216 has 32 divisors (see below), whose sum is σ = 288770400. Its totient is φ = 32085440.

The previous prime is 105882209. The next prime is 105882223. The reversal of 105882216 is 612288501.

It is an interprime number because it is at equal distance from previous prime (105882209) and next prime (105882223).

It is a super-2 number, since 2×105882216² = 22422087330141312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 200271 + ... + 200798.

It is an arithmetic number, because the mean of its divisors is an integer number (9024075).

Almost surely, 2^105882216 is an apocalyptic number.

It is an amenable number.

105882216 is an abundant number, since it is smaller than the sum of its proper divisors (182888184).

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

105882216 is a wasteful number, since it uses less digits than its factorization.

105882216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401089 (or 401085 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 105882216 is about 10289.9084544033. The cubic root of 105882216 is about 473.0869925383.

The spelling of 105882216 in words is "one hundred five million, eight hundred eighty-two thousand, two hundred sixteen".