106017641 has 2 divisors, whose sum is σ = 106017642. Its totient is φ = 106017640.

The previous prime is 106017623. The next prime is 106017713. The reversal of 106017641 is 146710601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103958416 + 2059225 = 10196^2 + 1435^2 .

It is a cyclic number.

It is not a de Polignac number, because 106017641 - 2¹⁴ = 106001257 is a prime.

It is a super-2 number, since 2×106017641² = 22479480406409762, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106017641.

It is not a weakly prime, because it can be changed into another prime (106013641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53008820 + 53008821.

It is an arithmetic number, because the mean of its divisors is an integer number (53008821).

Almost surely, 2^106017641 is an apocalyptic number.

It is an amenable number.

106017641 is a deficient number, since it is larger than the sum of its proper divisors (1).

106017641 is an equidigital number, since it uses as much as digits as its factorization.

106017641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 106017641 is about 10296.4868280399. The cubic root of 106017641 is about 473.2886018144.

The spelling of 106017641 in words is "one hundred six million, seventeen thousand, six hundred forty-one".