106554 has 32 divisors (see below), whose sum is σ = 253440. Its totient is φ = 29232.

The previous prime is 106543. The next prime is 106591. The reversal of 106554 is 455601.

It is a happy number.

It is a super-2 number, since 2×106554² = 22707509832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 106554.

It is an unprimeable number.

106554 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1777 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2¹⁰⁶⁵⁵⁴ is an apocalyptic number.

106554 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126720).

106554 is an abundant number, since it is smaller than the sum of its proper divisors (146886).

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

106554 is a wasteful number, since it uses less digits than its factorization.

106554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 106554 is about 326.4261018975. The cubic root of 106554 is about 47.4085405394.

The spelling of 106554 in words is "one hundred six thousand, five hundred fifty-four".