1052105533200 has 180 divisors, whose sum is σ = 3786324670128. Its totient is φ = 280561449600.

The previous prime is 1052105533139. The next prime is 1052105533229. The reversal of 1052105533200 is 23355012501.

It is a happy number.

1052105533200 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 105 + 533 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1052105533200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5314866 + ... + 5509265.

Almost surely, 2^{1052105533200} is an apocalyptic number.

1052105533200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052105533200 is an abundant number, since it is smaller than the sum of its proper divisors (2734219136928).

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

1052105533200 is a wasteful number, since it uses less digits than its factorization.

1052105533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10824164 (or 10824141 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 1052105533200 in words is "one trillion, fifty-two billion, one hundred five million, five hundred thirty-three thousand, two hundred".