1024640100 has 243 divisors, whose sum is σ = 3566959851. Its totient is φ = 245836800.

The previous prime is 1024640069. The next prime is 1024640129. The reversal of 1024640100 is 10464201.

The square root of 1024640100 is 32010.

It is a perfect power (a square), and thus also a powerful number.

1024640100 is a `hidden beast` number, since 1 + 0 + 24 + 640 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37675044 + 986965056 = 6138^2 + 31416^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10563252 + ... + 10563348.

Almost surely, 2^1024640100 is an apocalyptic number.

1024640100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1024640100 is the 32010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024640100

1024640100 is an abundant number, since it is smaller than the sum of its proper divisors (2542319751).

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

1024640100 is a wasteful number, since it uses less digits than its factorization.

1024640100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The cubic root of 1024640100 is about 1008.1468158223.

The spelling of 1024640100 in words is "one billion, twenty-four million, six hundred forty thousand, one hundred".