1053540100 has 72 divisors (see below), whose sum is σ = 2352615048. Its totient is φ = 409267200.

The previous prime is 1053540097. The next prime is 1053540113. The reversal of 1053540100 is 10453501.

It can be written as a sum of positive squares in 12 ways, for example, as 125484804 + 928055296 = 11202^2 + 30464^2 .

It is a super-2 number, since 2×1053540100² = 2219893484616020000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1200862 + ... + 1201738.

It is an arithmetic number, because the mean of its divisors is an integer number (32675209).

Almost surely, 2^1053540100 is an apocalyptic number.

1053540100 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 1053540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176307524).

1053540100 is an abundant number, since it is smaller than the sum of its proper divisors (1299074948).

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

1053540100 is a wasteful number, since it uses less digits than its factorization.

1053540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1053540100 is about 32458.2824561005. The cubic root of 1053540100 is about 1017.5373436582.

Adding to 1053540100 its reverse (10453501), we get a palindrome (1063993601).

The spelling of 1053540100 in words is "one billion, fifty-three million, five hundred forty thousand, one hundred".