110006400 has 192 divisors, whose sum is σ = 414348480. Its totient is φ = 25128960.

The previous prime is 110006353. The next prime is 110006411. The reversal of 110006400 is 4600011.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66382 + ... + 68018.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2^110006400 is an apocalyptic number.

110006400 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 110006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

110006400 is an abundant number, since it is smaller than the sum of its proper divisors (304342080).

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

110006400 is a wasteful number, since it uses less digits than its factorization.

110006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 110006400 is about 10488.3935852923. The cubic root of 110006400 is about 479.1512779767.

Adding to 110006400 its reverse (4600011), we get a palindrome (114606411).

The spelling of 110006400 in words is "one hundred ten million, six thousand, four hundred".