106561105537 has 2 divisors, whose sum is σ = 106561105538. Its totient is φ = 106561105536.

The previous prime is 106561105513. The next prime is 106561105543. The reversal of 106561105537 is 735501165601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97743144321 + 8817961216 = 312639^2 + 93904^2 .

It is an emirp because it is prime and its reverse (735501165601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106561105537 - 2¹⁹ = 106560581249 is a prime.

It is a super-2 number, since 2×106561105537² (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 106561105537.

It is not a weakly prime, because it can be changed into another prime (106561105037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53280552768 + 53280552769.

It is an arithmetic number, because the mean of its divisors is an integer number (53280552769).

Almost surely, 2^106561105537 is an apocalyptic number.

It is an amenable number.

106561105537 is a deficient number, since it is larger than the sum of its proper divisors (1).

106561105537 is an equidigital number, since it uses as much as digits as its factorization.

106561105537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 94500, while the sum is 40.

The spelling of 106561105537 in words is "one hundred six billion, five hundred sixty-one million, one hundred five thousand, five hundred thirty-seven".