106860 has 48 divisors (see below), whose sum is σ = 324576. Its totient is φ = 26112.

The previous prime is 106859. The next prime is 106861. The reversal of 106860 is 68601.

It is an interprime number because it is at equal distance from previous prime (106859) and next prime (106861).

It is a super-2 number, since 2×106860² = 22838119200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106861) 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, 712 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (6762).

2¹⁰⁶⁸⁶⁰ is an apocalyptic number.

106860 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 106860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162288).

106860 is an abundant number, since it is smaller than the sum of its proper divisors (217716).

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

106860 is a wasteful number, since it uses less digits than its factorization.

106860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106860 is about 326.8944783871. The cubic root of 106860 is about 47.4538795179.

It can be divided in two parts, 1068 and 60, that added together give a triangular number (1128 = T₄₇).

The spelling of 106860 in words is "one hundred six thousand, eight hundred sixty".