106456504201 has 2 divisors, whose sum is σ = 106456504202. Its totient is φ = 106456504200.

The previous prime is 106456504183. The next prime is 106456504213. The reversal of 106456504201 is 102405654601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101365824400 + 5090679801 = 318380^2 + 71349^2 .

It is a cyclic number.

It is not a de Polignac number, because 106456504201 - 2¹⁷ = 106456373129 is a prime.

It is a super-2 number, since 2×106456504201² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106456504261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53228252100 + 53228252101.

It is an arithmetic number, because the mean of its divisors is an integer number (53228252101).

Almost surely, 2^106456504201 is an apocalyptic number.

It is an amenable number.

106456504201 is a deficient number, since it is larger than the sum of its proper divisors (1).

106456504201 is an equidigital number, since it uses as much as digits as its factorization.

106456504201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 106456504201 in words is "one hundred six billion, four hundred fifty-six million, five hundred four thousand, two hundred one".