1075134900 has 288 divisors, whose sum is σ = 3714262272. Its totient is φ = 235008000.

The previous prime is 1075134887. The next prime is 1075134913. The reversal of 1075134900 is 94315701.

It is an interprime number because it is at equal distance from previous prime (1075134887) and next prime (1075134913).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7847632 + ... + 7847768.

It is an arithmetic number, because the mean of its divisors is an integer number (12896744).

Almost surely, 2^1075134900 is an apocalyptic number.

1075134900 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 1075134900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857131136).

1075134900 is an abundant number, since it is smaller than the sum of its proper divisors (2639127372).

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

1075134900 is a wasteful number, since it uses less digits than its factorization.

1075134900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 1075134900 is about 32789.2497626890. The cubic root of 1075134900 is about 1024.4426555549.

The spelling of 1075134900 in words is "one billion, seventy-five million, one hundred thirty-four thousand, nine hundred".