110401380 has 120 divisors (see below), whose sum is σ = 361513152. Its totient is φ = 28150848.

The previous prime is 110401373. The next prime is 110401387. The reversal of 110401380 is 83104011.

It is an interprime number because it is at equal distance from previous prime (110401373) and next prime (110401387).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110401387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35779 + ... + 38741.

Almost surely, 2^110401380 is an apocalyptic number.

110401380 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 110401380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180756576).

110401380 is an abundant number, since it is smaller than the sum of its proper divisors (251111772).

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

110401380 is a wasteful number, since it uses less digits than its factorization.

110401380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 110401380 is about 10507.2060986734. The cubic root of 110401380 is about 479.7240601496.

Adding to 110401380 its reverse (83104011), we get a palindrome (193505391).

The spelling of 110401380 in words is "one hundred ten million, four hundred one thousand, three hundred eighty".