1053508100 has 36 divisors (see below), whose sum is σ = 2385513984. Its totient is φ = 403080480.

The previous prime is 1053508091. The next prime is 1053508177. The reversal of 1053508100 is 18053501.

It is a super-2 number, since 2×1053508100² = 2219758633531220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226724 + ... + 231323.

Almost surely, 2^1053508100 is an apocalyptic number.

1053508100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053508100 is an abundant number, since it is smaller than the sum of its proper divisors (1332005884).

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

1053508100 is a wasteful number, since it uses less digits than its factorization.

1053508100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458084 (or 458077 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 1053508100 is about 32457.7895119184. The cubic root of 1053508100 is about 1017.5270414005.

The spelling of 1053508100 in words is "one billion, fifty-three million, five hundred eight thousand, one hundred".