1055110400 has 108 divisors (see below), whose sum is σ = 2675925084. Its totient is φ = 411648000.

The previous prime is 1055110369. The next prime is 1055110421. The reversal of 1055110400 is 40115501.

1055110400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 431309824 + 623800576 = 20768^2 + 24976^2 .

It is a super-2 number, since 2×1055110400² = 2226515912376320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260390 + ... + 264410.

Almost surely, 2^1055110400 is an apocalyptic number.

1055110400 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 1055110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337962542).

1055110400 is an abundant number, since it is smaller than the sum of its proper divisors (1620814684).

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

1055110400 is an equidigital number, since it uses as much as digits as its factorization.

1055110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 1055110400 is about 32482.4629608039. The cubic root of 1055110400 is about 1018.0426386753.

Adding to 1055110400 its reverse (40115501), we get a palindrome (1095225901).

The spelling of 1055110400 in words is "one billion, fifty-five million, one hundred ten thousand, four hundred".