101082916 has 27 divisors (see below), whose sum is σ = 194864817. Its totient is φ = 45846240.

The previous prime is 101082887. The next prime is 101082923. The reversal of 101082916 is 619280101.

It is a happy number.

The square root of 101082916 is 10054.

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

It can be written as a sum of positive squares in only one way, i.e., 87422500 + 13660416 = 9350^2 + 3696^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 220960 + ... + 221416.

Almost surely, 2^101082916 is an apocalyptic number.

101082916 is the 10054-th square number.

It is an amenable number.

101082916 is a deficient number, since it is larger than the sum of its proper divisors (93781901).

101082916 is an equidigital number, since it uses as much as digits as its factorization.

101082916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The cubic root of 101082916 is about 465.8283550646.

The spelling of 101082916 in words is "one hundred one million, eighty-two thousand, nine hundred sixteen".