1016131600 has 60 divisors (see below), whose sum is σ = 2663200080. Its totient is φ = 369500800.

The previous prime is 1016131591. The next prime is 1016131631. The reversal of 1016131600 is 61316101.

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, 111070 + ... + 119869.

It is an arithmetic number, because the mean of its divisors is an integer number (44386668).

Almost surely, 2^1016131600 is an apocalyptic number.

1016131600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016131600 is an abundant number, since it is smaller than the sum of its proper divisors (1647068480).

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

1016131600 is a wasteful number, since it uses less digits than its factorization.

1016131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230968 (or 230957 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1016131600 is about 31876.8191637748. The cubic root of 1016131600 is about 1005.3485420957.

Adding to 1016131600 its reverse (61316101), we get a palindrome (1077447701).

The spelling of 1016131600 in words is "one billion, sixteen million, one hundred thirty-one thousand, six hundred".