1057772900 has 18 divisors (see below), whose sum is σ = 2295367410. Its totient is φ = 423109120.

The previous prime is 1057772897. The next prime is 1057772927. The reversal of 1057772900 is 92777501.

1057772900 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 3 ways, for example, as 92416 + 1057680484 = 304^2 + 32522^2 .

It is a super-2 number, since 2×1057772900² = 2237767015948820000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5288765 + ... + 5288964.

Almost surely, 2^1057772900 is an apocalyptic number.

1057772900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057772900 is an abundant number, since it is smaller than the sum of its proper divisors (1237594510).

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

1057772900 is a wasteful number, since it uses less digits than its factorization.

1057772900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10577743 (or 10577736 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 38.

The square root of 1057772900 is about 32523.4207917925. The cubic root of 1057772900 is about 1018.8982400615.

The spelling of 1057772900 in words is "one billion, fifty-seven million, seven hundred seventy-two thousand, nine hundred".