106890 has 32 divisors (see below), whose sum is σ = 293760. Its totient is φ = 24384.

The previous prime is 106877. The next prime is 106903. The reversal of 106890 is 98601.

106890 = T₆₀ + T₆₁ + ... + T₉₄.

It is an interprime number because it is at equal distance from previous prime (106877) and next prime (106903).

It is a super-2 number, since 2×106890² = 22850944200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106890.

It is an unprimeable number.

106890 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, 45 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

2¹⁰⁶⁸⁹⁰ is an apocalyptic number.

106890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880).

106890 is an abundant number, since it is smaller than the sum of its proper divisors (186870).

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

106890 is a wasteful number, since it uses less digits than its factorization.

106890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 106890 is about 326.9403615340. The cubic root of 106890 is about 47.4583198547.

The spelling of 106890 in words is "one hundred six thousand, eight hundred ninety".