106126736249 has 2 divisors, whose sum is σ = 106126736250. Its totient is φ = 106126736248.

The previous prime is 106126736239. The next prime is 106126736293. The reversal of 106126736249 is 942637621601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102912640000 + 3214096249 = 320800^2 + 56693^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106126736249 is a prime.

It is a super-2 number, since 2×106126736249² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106126736239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53063368124 + 53063368125.

It is an arithmetic number, because the mean of its divisors is an integer number (53063368125).

Almost surely, 2^106126736249 is an apocalyptic number.

It is an amenable number.

106126736249 is a deficient number, since it is larger than the sum of its proper divisors (1).

106126736249 is an equidigital number, since it uses as much as digits as its factorization.

106126736249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 106126736249 in words is "one hundred six billion, one hundred twenty-six million, seven hundred thirty-six thousand, two hundred forty-nine".