1010005600 has 72 divisors (see below), whose sum is σ = 2485340928. Its totient is φ = 400780800.

The previous prime is 1010005597. The next prime is 1010005643. The reversal of 1010005600 is 65000101.

1010005600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010005600² = 2040222624062720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96630 + ... + 106570.

It is an arithmetic number, because the mean of its divisors is an integer number (34518624).

Almost surely, 2^1010005600 is an apocalyptic number.

1010005600 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 1010005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242670464).

1010005600 is an abundant number, since it is smaller than the sum of its proper divisors (1475335328).

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

1010005600 is a wasteful number, since it uses less digits than its factorization.

1010005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088 (or 10075 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1010005600 is about 31780.5852683679. The cubic root of 1010005600 is about 1003.3241378637.

Adding to 1010005600 its reverse (65000101), we get a palindrome (1075005701).

The spelling of 1010005600 in words is "one billion, ten million, five thousand, six hundred".