1053030600 has 144 divisors (see below), whose sum is σ = 3658554900. Its totient is φ = 271111680.

The previous prime is 1053030577. The next prime is 1053030611. The reversal of 1053030600 is 60303501.

1053030600 is a `hidden beast` number, since 1 + 0 + 5 + 30 + 30 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 771395076 + 281635524 = 27774^2 + 16782^2 .

It is a super-2 number, since 2×1053030600² = 2217746889072720000, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42114 + ... + 62286.

Almost surely, 2^1053030600 is an apocalyptic number.

1053030600 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 1053030600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829277450).

1053030600 is an abundant number, since it is smaller than the sum of its proper divisors (2605524300).

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

1053030600 is a wasteful number, since it uses less digits than its factorization.

1053030600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20224 (or 20212 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1053030600 is about 32450.4329709174. The cubic root of 1053030600 is about 1017.3732876113.

The spelling of 1053030600 in words is "one billion, fifty-three million, thirty thousand, six hundred".