106105512 has 16 divisors (see below), whose sum is σ = 265263840. Its totient is φ = 35368496.

The previous prime is 106105507. The next prime is 106105513. The reversal of 106105512 is 215501601.

It is a super-2 number, since 2×106105512² = 22516759353564288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106105513) 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 3 ways as a sum of consecutive naturals, for example, 2210508 + ... + 2210555.

It is an arithmetic number, because the mean of its divisors is an integer number (16578990).

Almost surely, 2^106105512 is an apocalyptic number.

106105512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106105512 is an abundant number, since it is smaller than the sum of its proper divisors (159158328).

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

106105512 is a wasteful number, since it uses less digits than its factorization.

106105512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421072 (or 4421068 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 106105512 is about 10300.7529821853. The cubic root of 106105512 is about 473.4193248956.

The spelling of 106105512 in words is "one hundred six million, one hundred five thousand, five hundred twelve".