105889812 has 48 divisors (see below), whose sum is σ = 297239040. Its totient is φ = 28661472.

The previous prime is 105889801. The next prime is 105889841. The reversal of 105889812 is 218988501.

It is a super-2 number, since 2×105889812² = 22425304570790688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31578 + ... + 34769.

It is an arithmetic number, because the mean of its divisors is an integer number (6192480).

Almost surely, 2^105889812 is an apocalyptic number.

105889812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105889812 is an abundant number, since it is smaller than the sum of its proper divisors (191349228).

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

105889812 is a wasteful number, since it uses less digits than its factorization.

105889812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66380 (or 66378 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 42.

The square root of 105889812 is about 10290.2775472773. The cubic root of 105889812 is about 473.0983053693.

The spelling of 105889812 in words is "one hundred five million, eight hundred eighty-nine thousand, eight hundred twelve".