106029252 has 72 divisors (see below), whose sum is σ = 308811776. Its totient is φ = 30046464.

The previous prime is 106029251. The next prime is 106029277. The reversal of 106029252 is 252920601.

106029252 is a `hidden beast` number, since 1 + 0 + 602 + 9 + 2 + 52 = 666.

It is a super-2 number, since 2×106029252² = 22484404559359008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106029251) 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 23 ways as a sum of consecutive naturals, for example, 30348 + ... + 33660.

Almost surely, 2^106029252 is an apocalyptic number.

106029252 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 106029252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154405888).

106029252 is an abundant number, since it is smaller than the sum of its proper divisors (202782524).

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

106029252 is a wasteful number, since it uses less digits than its factorization.

106029252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106029252 is about 10297.0506456946. The cubic root of 106029252 is about 473.3058792955.

Adding to 106029252 its reverse (252920601), we get a palindrome (358949853).

The spelling of 106029252 in words is "one hundred six million, twenty-nine thousand, two hundred fifty-two".