103790107434049 has 27 divisors (see below), whose sum is σ = 116366517505641. Its totient is φ = 92540567295360.

The previous prime is 103790107434047. The next prime is 103790107434053. The reversal of 103790107434049 is 940434701097301.

The square root of 103790107434049 is 10187743.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17123912991025 + 86666194443024 = 4138105^2 + 9309468^2 .

It is not a de Polignac number, because 103790107434049 - 2¹ = 103790107434047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103790107433987 and 103790107434005.

It is not an unprimeable number, because it can be changed into a prime (103790107434047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3290625219 + ... + 3290656759.

Almost surely, 2^{103790107434049} is an apocalyptic number.

103790107434049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

103790107434049 is the 10187743-rd square number.

103790107434049 is the 5093872-nd centered octagonal number.

It is an amenable number.

103790107434049 is a deficient number, since it is larger than the sum of its proper divisors (12576410071592).

103790107434049 is an frugal number, since it uses more digits than its factorization.

103790107434049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63154 (or 31577 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 103790107434049 in words is "one hundred three trillion, seven hundred ninety billion, one hundred seven million, four hundred thirty-four thousand, forty-nine".