106588860 has 192 divisors, whose sum is σ = 369761280. Its totient is φ = 22457088.

The previous prime is 106588843. The next prime is 106588913. The reversal of 106588860 is 68885601.

It is a super-2 number, since 2×106588860² = 22722370152199200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 703 × 665 × 228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2880762 + ... + 2880798.

It is an arithmetic number, because the mean of its divisors is an integer number (1925840).

Almost surely, 2^106588860 is an apocalyptic number.

106588860 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 106588860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184880640).

106588860 is an abundant number, since it is smaller than the sum of its proper divisors (263172420).

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

106588860 is a wasteful number, since it uses less digits than its factorization.

106588860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 106588860 is about 10324.1881036719. The cubic root of 106588860 is about 474.1371000447.

The spelling of 106588860 in words is "one hundred six million, five hundred eighty-eight thousand, eight hundred sixty".