109780 has 24 divisors (see below), whose sum is σ = 252000. Its totient is φ = 39840.

The previous prime is 109751. The next prime is 109789. The reversal of 109780 is 87901.

It is an Ulam number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109789) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (10500).

2¹⁰⁹⁷⁸⁰ is an apocalyptic number.

109780 is a gapful number since it is divisible by the number (10) 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 109780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126000).

109780 is an abundant number, since it is smaller than the sum of its proper divisors (142220).

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

109780 is a wasteful number, since it uses less digits than its factorization.

109780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 109780 is about 331.3306505592. The cubic root of 109780 is about 47.8822344527.

The spelling of 109780 in words is "one hundred nine thousand, seven hundred eighty".