1009910500 has 144 divisors (see below), whose sum is σ = 2433871440. Its totient is φ = 365568000.

The previous prime is 1009910491. The next prime is 1009910533. The reversal of 1009910500 is 50199001.

It can be written as a sum of positive squares in 24 ways, for example, as 669360384 + 340550116 = 25872^2 + 18454^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4190380 + ... + 4190620.

It is an arithmetic number, because the mean of its divisors is an integer number (16901885).

Almost surely, 2^1009910500 is an apocalyptic number.

1009910500 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 1009910500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216935720).

1009910500 is an abundant number, since it is smaller than the sum of its proper divisors (1423960940).

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

1009910500 is a wasteful number, since it uses less digits than its factorization.

1009910500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 25.

The square root of 1009910500 is about 31779.0890366606. The cubic root of 1009910500 is about 1003.2926465794.

The spelling of 1009910500 in words is "one billion, nine million, nine hundred ten thousand, five hundred".