106144769249 has 2 divisors, whose sum is σ = 106144769250. Its totient is φ = 106144769248.

The previous prime is 106144769197. The next prime is 106144769347. The reversal of 106144769249 is 942967441601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77176729249 + 28968040000 = 277807^2 + 170200^2 .

It is a cyclic number.

It is not a de Polignac number, because 106144769249 - 2²⁸ = 105876333793 is a prime.

It is a super-2 number, since 2×106144769249² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106144769249.

It is not a weakly prime, because it can be changed into another prime (106144765249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53072384624 + 53072384625.

It is an arithmetic number, because the mean of its divisors is an integer number (53072384625).

Almost surely, 2^106144769249 is an apocalyptic number.

It is an amenable number.

106144769249 is a deficient number, since it is larger than the sum of its proper divisors (1).

106144769249 is an equidigital number, since it uses as much as digits as its factorization.

106144769249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 106144769249 in words is "one hundred six billion, one hundred forty-four million, seven hundred sixty-nine thousand, two hundred forty-nine".