106352952 has 64 divisors (see below), whose sum is σ = 282631680. Its totient is φ = 33234432.

The previous prime is 106352941. The next prime is 106352957. The reversal of 106352952 is 259253601.

It is a super-2 number, since 2×106352952² = 22621900798228608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106352957) 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, 188623 + ... + 189185.

It is an arithmetic number, because the mean of its divisors is an integer number (4416120).

Almost surely, 2^106352952 is an apocalyptic number.

106352952 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 106352952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141315840).

106352952 is an abundant number, since it is smaller than the sum of its proper divisors (176278728).

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

106352952 is a wasteful number, since it uses less digits than its factorization.

106352952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 106352952 is about 10312.7567604400. The cubic root of 106352952 is about 473.7870467150.

The spelling of 106352952 in words is "one hundred six million, three hundred fifty-two thousand, nine hundred fifty-two".