1054503200 has 108 divisors (see below), whose sum is σ = 2735242902. Its totient is φ = 396902400.

The previous prime is 1054503187. The next prime is 1054503269. The reversal of 1054503200 is 23054501.

1054503200 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 9 ways, for example, as 209554576 + 844948624 = 14476^2 + 29068^2 .

It is a super-2 number, since 2×1054503200² = 2223953997620480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 228920 + ... + 233480.

Almost surely, 2^1054503200 is an apocalyptic number.

1054503200 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 1054503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367621451).

1054503200 is an abundant number, since it is smaller than the sum of its proper divisors (1680739702).

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

1054503200 is a wasteful number, since it uses less digits than its factorization.

1054503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1054503200 is about 32473.1150338245. The cubic root of 1054503200 is about 1017.8473118457.

Adding to 1054503200 its reverse (23054501), we get a palindrome (1077557701).

The spelling of 1054503200 in words is "one billion, fifty-four million, five hundred three thousand, two hundred".