110048400 has 360 divisors, whose sum is σ = 477332544. Its totient is φ = 22809600.

The previous prime is 110048383. The next prime is 110048413. The reversal of 110048400 is 4840011.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×110048400² = 24221300685120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277002 + ... + 277398.

Almost surely, 2^110048400 is an apocalyptic number.

110048400 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 110048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238666272).

110048400 is an abundant number, since it is smaller than the sum of its proper divisors (367284144).

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

110048400 is a wasteful number, since it uses less digits than its factorization.

110048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 110048400 is about 10490.3956074116. The cubic root of 110048400 is about 479.2122495598.

Adding to 110048400 its reverse (4840011), we get a palindrome (114888411).

The spelling of 110048400 in words is "one hundred ten million, forty-eight thousand, four hundred".