106134912 has 192 divisors, whose sum is σ = 347146800. Its totient is φ = 30855168.

The previous prime is 106134887. The next prime is 106134913. The reversal of 106134912 is 219431601.

106134912 is a `hidden beast` number, since 1 + 0 + 613 + 49 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106134912² = 22529239090495488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106134913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284358 + ... + 284730.

Almost surely, 2^106134912 is an apocalyptic number.

106134912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106134912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173573400).

106134912 is an abundant number, since it is smaller than the sum of its proper divisors (241011888).

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

106134912 is a wasteful number, since it uses less digits than its factorization.

106134912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106134912 is about 10302.1799634835. The cubic root of 106134912 is about 473.4630462900.

The spelling of 106134912 in words is "one hundred six million, one hundred thirty-four thousand, nine hundred twelve".