1053134100 has 108 divisors (see below), whose sum is σ = 3310217820. Its totient is φ = 280051200.

The previous prime is 1053134087. The next prime is 1053134119. The reversal of 1053134100 is 14313501.

1053134100 is a `hidden beast` number, since 1 + 0 + 531 + 34 + 100 = 666.

1053134100 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 6 ways, for example, as 18096516 + 1035037584 = 4254^2 + 32172^2 .

It is a super-2 number, since 2×1053134100² = 2218182865165620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 366670 + ... + 369530.

It is an arithmetic number, because the mean of its divisors is an integer number (30650165).

Almost surely, 2^1053134100 is an apocalyptic number.

1053134100 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 1053134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655108910).

1053134100 is an abundant number, since it is smaller than the sum of its proper divisors (2257083720).

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

1053134100 is a wasteful number, since it uses less digits than its factorization.

1053134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1053134100 is about 32452.0276716263. The cubic root of 1053134100 is about 1017.4066182937.

Adding to 1053134100 its reverse (14313501), we get a palindrome (1067447601).

The spelling of 1053134100 in words is "one billion, fifty-three million, one hundred thirty-four thousand, one hundred".