106545601 has 2 divisors, whose sum is σ = 106545602. Its totient is φ = 106545600.

The previous prime is 106545599. The next prime is 106545619.

106545601 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93412225 + 13133376 = 9665^2 + 3624^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 106545601 - 2¹ = 106545599 is a prime.

It is a super-2 number, since 2×106545601² = 22703930184902402, which contains 22 as substring.

Together with 106545599, it forms a pair of twin primes.

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 106545601.

It is not a weakly prime, because it can be changed into another prime (106545661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53272800 + 53272801.

It is an arithmetic number, because the mean of its divisors is an integer number (53272801).

Almost surely, 2^106545601 is an apocalyptic number.

It is an amenable number.

106545601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106545601 is an equidigital number, since it uses as much as digits as its factorization.

106545601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 106545601 is about 10322.0928594932. The cubic root of 106545601 is about 474.0729486497.

The spelling of 106545601 in words is "one hundred six million, five hundred forty-five thousand, six hundred one".