1010009600 has 120 divisors (see below), whose sum is σ = 2634716040. Its totient is φ = 382648320.

The previous prime is 1010009599. The next prime is 1010009617. The reversal of 1010009600 is 69000101.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241124 + ... + 245276.

It is an arithmetic number, because the mean of its divisors is an integer number (21955967).

Almost surely, 2^1010009600 is an apocalyptic number.

1010009600 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 1010009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317358020).

1010009600 is an abundant number, since it is smaller than the sum of its proper divisors (1624706440).

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

1010009600 is an equidigital number, since it uses as much as digits as its factorization.

1010009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 1010009600 is about 31780.6481998086. The cubic root of 1010009600 is about 1003.3254623749.

Adding to 1010009600 its reverse (69000101), we get a palindrome (1079009701).

The spelling of 1010009600 in words is "one billion, ten million, nine thousand, six hundred".