101000516 has 12 divisors (see below), whose sum is σ = 176826300. Its totient is φ = 50478720.

The previous prime is 101000513. The next prime is 101000527. The reversal of 101000516 is 615000101.

It can be written as a sum of positive squares in 2 ways, for example, as 198916 + 100801600 = 446^2 + 10040^2 .

It is a super-2 number, since 2×101000516² = 20402208464532512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101000516.

It is not an unprimeable number, because it can be changed into a prime (101000513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10136 + ... + 17456.

It is an arithmetic number, because the mean of its divisors is an integer number (14735525).

Almost surely, 2^101000516 is an apocalyptic number.

It is an amenable number.

101000516 is a deficient number, since it is larger than the sum of its proper divisors (75825784).

101000516 is a wasteful number, since it uses less digits than its factorization.

101000516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10774 (or 10772 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 101000516 is about 10049.9012930476. The cubic root of 101000516 is about 465.7017438539.

Adding to 101000516 its reverse (615000101), we get a palindrome (716000617).

The spelling of 101000516 in words is "one hundred one million, five hundred sixteen", and thus it is an aban number.