106584860 has 48 divisors (see below), whose sum is σ = 233271360. Its totient is φ = 40857600.

The previous prime is 106584859. The next prime is 106584923. The reversal of 106584860 is 68485601.

It is a super-2 number, since 2×106584860² = 22720664762439200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 86972 + ... + 88188.

It is an arithmetic number, because the mean of its divisors is an integer number (4859820).

Almost surely, 2^106584860 is an apocalyptic number.

106584860 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 106584860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116635680).

106584860 is an abundant number, since it is smaller than the sum of its proper divisors (126686500).

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

106584860 is a wasteful number, since it uses less digits than its factorization.

106584860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 106584860 is about 10323.9943820209. The cubic root of 106584860 is about 474.1311689304.

The spelling of 106584860 in words is "one hundred six million, five hundred eighty-four thousand, eight hundred sixty".