106573441153 has 2 divisors, whose sum is σ = 106573441154. Its totient is φ = 106573441152.

The previous prime is 106573441151. The next prime is 106573441157. The reversal of 106573441153 is 351144375601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80765661249 + 25807779904 = 284193^2 + 160648^2 .

It is a cyclic number.

It is not a de Polignac number, because 106573441153 - 2¹ = 106573441151 is a prime.

It is a super-2 number, since 2×106573441153² (a number of 23 digits) contains 22 as substring.

Together with 106573441151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (106573441151) 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, 53286720576 + 53286720577.

It is an arithmetic number, because the mean of its divisors is an integer number (53286720577).

Almost surely, 2^106573441153 is an apocalyptic number.

It is an amenable number.

106573441153 is a deficient number, since it is larger than the sum of its proper divisors (1).

106573441153 is an equidigital number, since it uses as much as digits as its factorization.

106573441153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 106573441153 in words is "one hundred six billion, five hundred seventy-three million, four hundred forty-one thousand, one hundred fifty-three".