106624952 has 64 divisors (see below), whose sum is σ = 247173120. Its totient is φ = 42075648.

The previous prime is 106624949. The next prime is 106624963. The reversal of 106624952 is 259426601.

It is a happy number.

It is a super-3 number, since 3×106624952³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43553 + ... + 45935.

It is an arithmetic number, because the mean of its divisors is an integer number (3862080).

Almost surely, 2^106624952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106624952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123586560).

106624952 is an abundant number, since it is smaller than the sum of its proper divisors (140548168).

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

106624952 is a wasteful number, since it uses less digits than its factorization.

106624952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 106624952 is about 10325.9358897874. The cubic root of 106624952 is about 474.1906097801.

The spelling of 106624952 in words is "one hundred six million, six hundred twenty-four thousand, nine hundred fifty-two".