106488 has 64 divisors (see below), whose sum is σ = 324000. Its totient is φ = 32256.

The previous prime is 106487. The next prime is 106501. The reversal of 106488 is 884601.

106488 is a `hidden beast` number, since 10 + 648 + 8 = 666.

It is a super-2 number, since 2×106488² = 22679388288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106487) 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, 3658 + ... + 3686.

2¹⁰⁶⁴⁸⁸ is an apocalyptic number.

106488 is a gapful number since it is divisible by the number (18) 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 106488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162000).

106488 is an abundant number, since it is smaller than the sum of its proper divisors (217512).

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

106488 is a wasteful number, since it uses less digits than its factorization.

106488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 106488 is about 326.3249913813. The cubic root of 106488 is about 47.3987501673.

It can be divided in two parts, 10648 and 8, that multiplied together give a cube (85184 = 44³).

The spelling of 106488 in words is "one hundred six thousand, four hundred eighty-eight".