106534512 has 120 divisors (see below), whose sum is σ = 360842976. Its totient is φ = 28643328.

The previous prime is 106534511. The next prime is 106534531. The reversal of 106534512 is 215435601.

106534512 is a `hidden beast` number, since 1 + 0 + 653 + 4 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×106534512² = 22699204494156288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106534511) 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, 14028 + ... + 20244.

Almost surely, 2^106534512 is an apocalyptic number.

106534512 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 106534512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180421488).

106534512 is an abundant number, since it is smaller than the sum of its proper divisors (254308464).

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

106534512 is a wasteful number, since it uses less digits than its factorization.

106534512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6255 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106534512 is about 10321.5556966961. Note that the first 3 decimals coincide. The cubic root of 106534512 is about 474.0565013030.

The spelling of 106534512 in words is "one hundred six million, five hundred thirty-four thousand, five hundred twelve".