103872262278301 has 12 divisors (see below), whose sum is σ = 115072648746496. Its totient is φ = 93685791303720.

The previous prime is 103872262278293. The next prime is 103872262278313.

103872262278301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103872262278301 - 2³ = 103872262278293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103872262278361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3379702935 + ... + 3379733668.

Almost surely, 2^{103872262278301} is an apocalyptic number.

103872262278301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103872262278301 is a deficient number, since it is larger than the sum of its proper divisors (11200386468195).

103872262278301 is a wasteful number, since it uses less digits than its factorization.

103872262278301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759436752 (or 6759436741 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 103872262278301 in words is "one hundred three trillion, eight hundred seventy-two billion, two hundred sixty-two million, two hundred seventy-eight thousand, three hundred one".