106585632 has 96 divisors (see below), whose sum is σ = 314919360. Its totient is φ = 35505216.

The previous prime is 106585607. The next prime is 106585663. The reversal of 106585632 is 236585601.

106585632 is a `hidden beast` number, since 10 + 6 + 5 + 8 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106585632² = 22720993897678848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69223 + ... + 70745.

It is an arithmetic number, because the mean of its divisors is an integer number (3280410).

Almost surely, 2^106585632 is an apocalyptic number.

106585632 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 106585632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157459680).

106585632 is an abundant number, since it is smaller than the sum of its proper divisors (208333728).

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

106585632 is an frugal number, since it uses more digits than its factorization.

106585632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 106585632 is about 10324.0317705827. The cubic root of 106585632 is about 474.1323136470.

It can be divided in two parts, 10658 and 5632, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 106585632 in words is "one hundred six million, five hundred eighty-five thousand, six hundred thirty-two".