1055103600 has 240 divisors, whose sum is σ = 3533773824. Its totient is φ = 268800000.

The previous prime is 1055103583. The next prime is 1055103617. The reversal of 1055103600 is 63015501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1055103583) and next prime (1055103617).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1055103600² = 2226487213465920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4203475 + ... + 4203725.

Almost surely, 2^1055103600 is an apocalyptic number.

1055103600 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 1055103600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766886912).

1055103600 is an abundant number, since it is smaller than the sum of its proper divisors (2478670224).

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

1055103600 is a wasteful number, since it uses less digits than its factorization.

1055103600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1055103600 is about 32482.3582887696. The cubic root of 1055103600 is about 1018.0404516356.

The spelling of 1055103600 in words is "one billion, fifty-five million, one hundred three thousand, six hundred".