105540624997 has 2 divisors, whose sum is σ = 105540624998. Its totient is φ = 105540624996.

The previous prime is 105540624941. The next prime is 105540625153. The reversal of 105540624997 is 799426045501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103035222081 + 2505402916 = 320991^2 + 50054^2 .

It is a cyclic number.

It is not a de Polignac number, because 105540624997 - 2¹⁹ = 105540100709 is a prime.

It is a super-2 number, since 2×105540624997² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105540624097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52770312498 + 52770312499.

It is an arithmetic number, because the mean of its divisors is an integer number (52770312499).

Almost surely, 2^105540624997 is an apocalyptic number.

It is an amenable number.

105540624997 is a deficient number, since it is larger than the sum of its proper divisors (1).

105540624997 is an equidigital number, since it uses as much as digits as its factorization.

105540624997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 105540624997 in words is "one hundred five billion, five hundred forty million, six hundred twenty-four thousand, nine hundred ninety-seven".