105955812 has 18 divisors (see below), whose sum is σ = 267832838. Its totient is φ = 35318592.

The previous prime is 105955807. The next prime is 105955819. The reversal of 105955812 is 218559501.

It is a happy number.

105955812 is a `hidden beast` number, since 1 + 0 + 595 + 58 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104530176 + 1425636 = 10224^2 + 1194^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105955812² = 22453268193158688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2943217 = 105955812 / (1 + 0 + 5 + 9 + 5 + 5 + 8 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (105955819) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1471573 + ... + 1471644.

Almost surely, 2^105955812 is an apocalyptic number.

105955812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105955812 is an abundant number, since it is smaller than the sum of its proper divisors (161877026).

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

105955812 is a wasteful number, since it uses less digits than its factorization.

105955812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943227 (or 2943222 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 105955812 is about 10293.4839583107. The cubic root of 105955812 is about 473.1965773450.

The spelling of 105955812 in words is "one hundred five million, nine hundred fifty-five thousand, eight hundred twelve".