106056012 has 48 divisors (see below), whose sum is σ = 255300192. Its totient is φ = 34245120.

The previous prime is 106056007. The next prime is 106056029. The reversal of 106056012 is 210650601.

It is a happy number.

It is a super-2 number, since 2×106056012² = 22495755362688288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106056012.

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, 76558 + ... + 77930.

It is an arithmetic number, because the mean of its divisors is an integer number (5318754).

Almost surely, 2^106056012 is an apocalyptic number.

106056012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106056012 is an abundant number, since it is smaller than the sum of its proper divisors (149244180).

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

106056012 is a wasteful number, since it uses less digits than its factorization.

106056012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106056012 is about 10298.3499649216. The cubic root of 106056012 is about 473.3456940941.

The spelling of 106056012 in words is "one hundred six million, fifty-six thousand, twelve".