1016406101 has 2 divisors, whose sum is σ = 1016406102. Its totient is φ = 1016406100.

The previous prime is 1016406089. The next prime is 1016406119. The reversal of 1016406101 is 1016046101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 636351076 + 380055025 = 25226^2 + 19495^2 .

It is a cyclic number.

It is not a de Polignac number, because 1016406101 - 2¹⁰ = 1016405077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1016406191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508203050 + 508203051.

It is an arithmetic number, because the mean of its divisors is an integer number (508203051).

Almost surely, 2^1016406101 is an apocalyptic number.

It is an amenable number.

1016406101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1016406101 is an equidigital number, since it uses as much as digits as its factorization.

1016406101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1016406101 is about 31881.1245253363. The cubic root of 1016406101 is about 1005.4390632885.

Subtracting from 1016406101 its reverse (1016046101), we obtain a square (360000 = 600²).

The spelling of 1016406101 in words is "one billion, sixteen million, four hundred six thousand, one hundred one".