1005116600 has 48 divisors (see below), whose sum is σ = 2340739320. Its totient is φ = 401385600.

The previous prime is 1005116579. The next prime is 1005116603. The reversal of 1005116600 is 66115001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005116603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128399 + ... + 136001.

Almost surely, 2^1005116600 is an apocalyptic number.

1005116600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005116600 is an abundant number, since it is smaller than the sum of its proper divisors (1335622720).

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

1005116600 is a wasteful number, since it uses less digits than its factorization.

1005116600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280 (or 8271 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1005116600 is about 31703.5739310255. The cubic root of 1005116600 is about 1001.7026327298.

The spelling of 1005116600 in words is "one billion, five million, one hundred sixteen thousand, six hundred".