105638954749 has 2 divisors, whose sum is σ = 105638954750. Its totient is φ = 105638954748.

The previous prime is 105638954719. The next prime is 105638954767. The reversal of 105638954749 is 947459836501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55357619524 + 50281335225 = 235282^2 + 224235^2 .

It is a cyclic number.

It is not a de Polignac number, because 105638954749 - 2⁵ = 105638954717 is a prime.

It is a super-2 number, since 2×105638954749² (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 (105638954719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52819477374 + 52819477375.

It is an arithmetic number, because the mean of its divisors is an integer number (52819477375).

Almost surely, 2^105638954749 is an apocalyptic number.

It is an amenable number.

105638954749 is a deficient number, since it is larger than the sum of its proper divisors (1).

105638954749 is an equidigital number, since it uses as much as digits as its factorization.

105638954749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32659200, while the sum is 61.

The spelling of 105638954749 in words is "one hundred five billion, six hundred thirty-eight million, nine hundred fifty-four thousand, seven hundred forty-nine".