106585700 has 72 divisors (see below), whose sum is σ = 251108928. Its totient is φ = 39035520.

The previous prime is 106585693. The next prime is 106585709. The reversal of 106585700 is 7585601.

It is a super-3 number, since 3×106585700³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106585709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211649 + ... + 212151.

It is an arithmetic number, because the mean of its divisors is an integer number (3487624).

Almost surely, 2^106585700 is an apocalyptic number.

106585700 is a gapful number since it is divisible by the number (10) 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 106585700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125554464).

106585700 is an abundant number, since it is smaller than the sum of its proper divisors (144523228).

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

106585700 is a wasteful number, since it uses less digits than its factorization.

106585700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 106585700 is about 10324.0350638692. The cubic root of 106585700 is about 474.1324144767.

Subtracting from 106585700 its reverse (7585601), we obtain a palindrome (99000099).

The spelling of 106585700 in words is "one hundred six million, five hundred eighty-five thousand, seven hundred".