105155517937 has 2 divisors, whose sum is σ = 105155517938. Its totient is φ = 105155517936.

The previous prime is 105155517893. The next prime is 105155517953. The reversal of 105155517937 is 739715551501.

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., 100813235121 + 4342282816 = 317511^2 + 65896^2 .

It is an emirp because it is prime and its reverse (739715551501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105155517937 is a prime.

It is a super-2 number, since 2×105155517937² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105155517967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52577758968 + 52577758969.

It is an arithmetic number, because the mean of its divisors is an integer number (52577758969).

Almost surely, 2^105155517937 is an apocalyptic number.

It is an amenable number.

105155517937 is a deficient number, since it is larger than the sum of its proper divisors (1).

105155517937 is an equidigital number, since it uses as much as digits as its factorization.

105155517937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 826875, while the sum is 49.

The spelling of 105155517937 in words is "one hundred five billion, one hundred fifty-five million, five hundred seventeen thousand, nine hundred thirty-seven".