109770 has 16 divisors (see below), whose sum is σ = 263520. Its totient is φ = 29264.

The previous prime is 109751. The next prime is 109789. The reversal of 109770 is 77901.

It is an interprime number because it is at equal distance from previous prime (109751) and next prime (109789).

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 109770.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109770.

It is an unprimeable number.

109770 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 7 ways as a sum of consecutive naturals, for example, 1800 + ... + 1859.

It is an arithmetic number, because the mean of its divisors is an integer number (16470).

2¹⁰⁹⁷⁷⁰ is an apocalyptic number.

109770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109770 is an abundant number, since it is smaller than the sum of its proper divisors (153750).

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

109770 is a wasteful number, since it uses less digits than its factorization.

109770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669.

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 109770 is about 331.3155595501. The cubic root of 109770 is about 47.8807805240.

Subtracting from 109770 its sum of digits (24), we obtain a triangular number (109746 = T₄₆₈).

The spelling of 109770 in words is "one hundred nine thousand, seven hundred seventy".