106589952 has 144 divisors (see below), whose sum is σ = 360398080. Its totient is φ = 30440448.

The previous prime is 106589927. The next prime is 106589953. The reversal of 106589952 is 259985601.

106589952 is a `hidden beast` number, since 10 + 6 + 589 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106589952² = 22722835734724608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106589898 and 106589907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106589953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47283 + ... + 49485.

Almost surely, 2^106589952 is an apocalyptic number.

106589952 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 106589952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180199040).

106589952 is an abundant number, since it is smaller than the sum of its proper divisors (253808128).

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

106589952 is an equidigital number, since it uses as much as digits as its factorization.

106589952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 106589952 is about 10324.2409890510. The cubic root of 106589952 is about 474.1387192131.

The spelling of 106589952 in words is "one hundred six million, five hundred eighty-nine thousand, nine hundred fifty-two".