106888 has 16 divisors (see below), whose sum is σ = 207360. Its totient is φ = 51600.

The previous prime is 106877. The next prime is 106903. The reversal of 106888 is 888601.

It is a super-2 number, since 2×106888² = 22850089088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

106888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2¹⁰⁶⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

106888 is a deficient number, since it is larger than the sum of its proper divisors (100472).

106888 is a wasteful number, since it uses less digits than its factorization.

106888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 106888 is about 326.9373028579. The cubic root of 106888 is about 47.4580238581.

It can be divided in two parts, 1068 and 88, that added together give a square (1156 = 34²).

The spelling of 106888 in words is "one hundred six thousand, eight hundred eighty-eight".