1010408205 has 16 divisors (see below), whose sum is σ = 1620126144. Its totient is φ = 537726720.

The previous prime is 1010408159. The next prime is 1010408207. The reversal of 1010408205 is 5028040101.

It is not a de Polignac number, because 1010408205 - 2¹⁷ = 1010277133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010408207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65116 + ... + 79125.

It is an arithmetic number, because the mean of its divisors is an integer number (101257884).

Almost surely, 2^1010408205 is an apocalyptic number.

1010408205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010408205 is a deficient number, since it is larger than the sum of its proper divisors (609717939).

1010408205 is a wasteful number, since it uses less digits than its factorization.

1010408205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144716.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1010408205 is about 31786.9187717212. The cubic root of 1010408205 is about 1003.4574340400.

Adding to 1010408205 its reverse (5028040101), we get a palindrome (6038448306).

The spelling of 1010408205 in words is "one billion, ten million, four hundred eight thousand, two hundred five".