1016810056900 has 243 divisors, whose sum is σ = 2476904210823. Its totient is φ = 362045164800.

The previous prime is 1016810056841. The next prime is 1016810056909. The reversal of 1016810056900 is 96500186101.

The square root of 1016810056900 is 1008370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 211598160004 + 805211896896 = 459998^2 + 897336^2 .

It is a super-2 number, since 2×1016810056900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1016810056900.

It is not an unprimeable number, because it can be changed into a prime (1016810056909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9871942249 + ... + 9871942351.

Almost surely, 2^{1016810056900} is an apocalyptic number.

1016810056900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1016810056900 is the 1008370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016810056900

1016810056900 is an abundant number, since it is smaller than the sum of its proper divisors (1460094153923).

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

1016810056900 is a wasteful number, since it uses less digits than its factorization.

1016810056900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The spelling of 1016810056900 in words is "one trillion, sixteen billion, eight hundred ten million, fifty-six thousand, nine hundred".