1053100103000 has 256 divisors, whose sum is σ = 2810246400000. Its totient is φ = 365631552000.

The previous prime is 1053100102987. The next prime is 1053100103059. The reversal of 1053100103000 is 3010013501.

It is a super-2 number, since 2×1053100103000² (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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151543526 + ... + 151550474.

It is an arithmetic number, because the mean of its divisors is an integer number (10977525000).

Almost surely, 2^{1053100103000} is an apocalyptic number.

1053100103000 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 1053100103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405123200000).

1053100103000 is an abundant number, since it is smaller than the sum of its proper divisors (1757146297000).

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

1053100103000 is a wasteful number, since it uses less digits than its factorization.

1053100103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7603 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

Adding to 1053100103000 its reverse (3010013501), we get a palindrome (1056110116501).

The spelling of 1053100103000 in words is "one trillion, fifty-three billion, one hundred million, one hundred three thousand".