1057268300 has 72 divisors (see below), whose sum is σ = 2634623040. Its totient is φ = 364219200.

The previous prime is 1057268293. The next prime is 1057268309. The reversal of 1057268300 is 38627501.

It is a happy number.

It is a super-2 number, since 2×1057268300² = 2235632516369780000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057268309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4394 + ... + 46193.

Almost surely, 2^1057268300 is an apocalyptic number.

1057268300 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 1057268300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317311520).

1057268300 is an abundant number, since it is smaller than the sum of its proper divisors (1577354740).

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

1057268300 is a wasteful number, since it uses less digits than its factorization.

1057268300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50631 (or 50624 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1057268300 is about 32515.6623798440. The cubic root of 1057268300 is about 1018.7361958811.

The spelling of 1057268300 in words is "one billion, fifty-seven million, two hundred sixty-eight thousand, three hundred".