103206404602301 has 54 divisors (see below), whose sum is σ = 142894687971546. Its totient is φ = 74234376216000.

The previous prime is 103206404602289. The next prime is 103206404602351.

103206404602301 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 5906231715076 + 97300172887225 = 2430274^2 + 9864085^2 .

It is not a de Polignac number, because 103206404602301 - 2¹⁴ = 103206404585917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103206404602351) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 50498150 + ... + 52502151.

It is an arithmetic number, because the mean of its divisors is an integer number (2646197925399).

Almost surely, 2^{103206404602301} is an apocalyptic number.

103206404602301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103206404602301 is a deficient number, since it is larger than the sum of its proper divisors (39688283369245).

103206404602301 is a wasteful number, since it uses less digits than its factorization.

103206404602301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103000363 (or 103000332 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 10320640 and 4602301, that added together give a palindrome (14922941).

The spelling of 103206404602301 in words is "one hundred three trillion, two hundred six billion, four hundred four million, six hundred two thousand, three hundred one".