106076532 has 48 divisors (see below), whose sum is σ = 267043392. Its totient is φ = 32647680.

The previous prime is 106076441. The next prime is 106076533. The reversal of 106076532 is 235670601.

It is a super-2 number, since 2×106076532² = 22504461282294048, 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 106076532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106076533) 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 15 ways as a sum of consecutive naturals, for example, 5907 + ... + 15717.

It is an arithmetic number, because the mean of its divisors is an integer number (5563404).

Almost surely, 2^106076532 is an apocalyptic number.

106076532 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 106076532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133521696).

106076532 is an abundant number, since it is smaller than the sum of its proper divisors (160966860).

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

106076532 is a wasteful number, since it uses less digits than its factorization.

106076532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888 (or 9886 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 106076532 is about 10299.3461928416. The cubic root of 106076532 is about 473.3762201878.

The spelling of 106076532 in words is "one hundred six million, seventy-six thousand, five hundred thirty-two".