105882012 has 48 divisors (see below), whose sum is σ = 281938720. Its totient is φ = 34338816.

The previous prime is 105882011. The next prime is 105882013. The reversal of 105882012 is 210288501.

It is an interprime number because it is at equal distance from previous prime (105882011) and next prime (105882013).

It is a super-2 number, since 2×105882012² = 22422000930336288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105882011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9253 + ... + 17244.

Almost surely, 2^105882012 is an apocalyptic number.

105882012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105882012 is an abundant number, since it is smaller than the sum of its proper divisors (176056708).

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

105882012 is a wasteful number, since it uses less digits than its factorization.

105882012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26547 (or 26539 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 105882012 is about 10289.8985417739. The cubic root of 105882012 is about 473.0866887107.

The spelling of 105882012 in words is "one hundred five million, eight hundred eighty-two thousand, twelve".