106583952 has 80 divisors (see below), whose sum is σ = 287981568. Its totient is φ = 33928320.

The previous prime is 106583951. The next prime is 106583957. The reversal of 106583952 is 259385601.

It is a super-2 number, since 2×106583952² = 22720277647876608, 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 106583952.

It is not an unprimeable number, because it can be changed into a prime (106583951) 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, 123073 + ... + 123935.

Almost surely, 2^106583952 is an apocalyptic number.

106583952 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 106583952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990784).

106583952 is an abundant number, since it is smaller than the sum of its proper divisors (181397616).

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

106583952 is a wasteful number, since it uses less digits than its factorization.

106583952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 106583952 is about 10323.9504066999. The cubic root of 106583952 is about 474.1298225468.

The spelling of 106583952 in words is "one hundred six million, five hundred eighty-three thousand, nine hundred fifty-two".