106362350561 has 2 divisors, whose sum is σ = 106362350562. Its totient is φ = 106362350560.

The previous prime is 106362350537. The next prime is 106362350597. The reversal of 106362350561 is 165053263601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87796653025 + 18565697536 = 296305^2 + 136256^2 .

It is a cyclic number.

It is not a de Polignac number, because 106362350561 - 2²⁶ = 106295241697 is a prime.

It is a super-2 number, since 2×106362350561² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106362350261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53181175280 + 53181175281.

It is an arithmetic number, because the mean of its divisors is an integer number (53181175281).

Almost surely, 2^106362350561 is an apocalyptic number.

It is an amenable number.

106362350561 is a deficient number, since it is larger than the sum of its proper divisors (1).

106362350561 is an equidigital number, since it uses as much as digits as its factorization.

106362350561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 97200, while the sum is 38.

The spelling of 106362350561 in words is "one hundred six billion, three hundred sixty-two million, three hundred fifty thousand, five hundred sixty-one".