110105380 has 192 divisors, whose sum is σ = 313528320. Its totient is φ = 31449600.

The previous prime is 110105363. The next prime is 110105383. The reversal of 110105380 is 83501011.

110105380 is a nontrivial binomial coefficient, being equal to C(14840, 2).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (110105383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1550745 + ... + 1550815.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^110105380 is an apocalyptic number.

110105380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110105380 is the 14839-th triangular number and also the 7420-th hexagonal number.

110105380 is the 4947-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110105380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

110105380 is an abundant number, since it is smaller than the sum of its proper divisors (203422940).

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

110105380 is a wasteful number, since it uses less digits than its factorization.

110105380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 110105380 is about 10493.1110734615. Note that the first 3 decimals coincide. The cubic root of 110105380 is about 479.2949428798.

Adding to 110105380 its reverse (83501011), we get a palindrome (193606391).

The spelling of 110105380 in words is "one hundred ten million, one hundred five thousand, three hundred eighty".