110405412 has 72 divisors (see below), whose sum is σ = 318250296. Its totient is φ = 31970304.

The previous prime is 110405411. The next prime is 110405417. The reversal of 110405412 is 214504011.

It can be written as a sum of positive squares in 4 ways, for example, as 910116 + 109495296 = 954^2 + 10464^2 .

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 (110405411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018 + ... + 14894.

It is an arithmetic number, because the mean of its divisors is an integer number (4420143).

Almost surely, 2^110405412 is an apocalyptic number.

110405412 is a gapful number since it is divisible by the number (12) 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 110405412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159125148).

110405412 is an abundant number, since it is smaller than the sum of its proper divisors (207844884).

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

110405412 is a wasteful number, since it uses less digits than its factorization.

110405412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13917 (or 13912 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 110405412 is about 10507.3979652433. The cubic root of 110405412 is about 479.7299001245.

Adding to 110405412 its reverse (214504011), we get a palindrome (324909423).

The spelling of 110405412 in words is "one hundred ten million, four hundred five thousand, four hundred twelve".