1053020354100 has 576 divisors, whose sum is σ = 3805376440320. Its totient is φ = 221011200000.

The previous prime is 1053020354033. The next prime is 1053020354129. The reversal of 1053020354100 is 14530203501.

It is a super-2 number, since 2×1053020354100² (a number of 25 digits) 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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82318705 + ... + 82331495.

It is an arithmetic number, because the mean of its divisors is an integer number (6606556320).

Almost surely, 2^{1053020354100} is an apocalyptic number.

1053020354100 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 1053020354100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902688220160).

1053020354100 is an abundant number, since it is smaller than the sum of its proper divisors (2752356086220).

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

1053020354100 is a wasteful number, since it uses less digits than its factorization.

1053020354100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12952 (or 12945 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 1053020354100 its reverse (14530203501), we get a palindrome (1067550557601).

The spelling of 1053020354100 in words is "one trillion, fifty-three billion, twenty million, three hundred fifty-four thousand, one hundred".