1056010600 has 48 divisors (see below), whose sum is σ = 2466053100. Its totient is φ = 420541440.

The previous prime is 1056010561. The next prime is 1056010603. The reversal of 1056010600 is 60106501.

It can be written as a sum of positive squares in 6 ways, for example, as 910711684 + 145298916 = 30178^2 + 12054^2 .

It is a super-2 number, since 2×1056010600² = 2230316774624720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056010603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34272 + ... + 57328.

Almost surely, 2^1056010600 is an apocalyptic number.

1056010600 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 1056010600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233026550).

1056010600 is an abundant number, since it is smaller than the sum of its proper divisors (1410042500).

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

1056010600 is a wasteful number, since it uses less digits than its factorization.

1056010600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23302 (or 23293 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1056010600 is about 32496.3167143601. The cubic root of 1056010600 is about 1018.3320812071.

The spelling of 1056010600 in words is "one billion, fifty-six million, ten thousand, six hundred".