106872 has 32 divisors (see below), whose sum is σ = 275280. Its totient is φ = 34560.

The previous prime is 106871. The next prime is 106877. The reversal of 106872 is 278601.

It is a super-2 number, since 2×106872² = 22843248768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1428 + ... + 1500.

2¹⁰⁶⁸⁷² is an apocalyptic number.

106872 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 106872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137640).

106872 is an abundant number, since it is smaller than the sum of its proper divisors (168408).

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

106872 is a wasteful number, since it uses less digits than its factorization.

106872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 106872 is about 326.9128324187. The cubic root of 106872 is about 47.4556557523.

The spelling of 106872 in words is "one hundred six thousand, eight hundred seventy-two".