103977909779301 has 6 divisors (see below), whose sum is σ = 150190314125670. Its totient is φ = 69318606519528.

The previous prime is 103977909779279. The next prime is 103977909779329.

103977909779301 is a `hidden beast` number, since 10 + 3 + 9 + 77 + 90 + 97 + 79 + 301 = 666.

103977909779301 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 103665976359201 + 311933420100 = 10181649^2 + 558510^2 .

It is not a de Polignac number, because 103977909779301 - 2¹⁰ = 103977909778277 is a prime.

It is a super-2 number, since 2×103977909779301² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103977909779301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103977909779371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5776550543286 + ... + 5776550543303.

It is an arithmetic number, because the mean of its divisors is an integer number (25031719020945).

Almost surely, 2^{103977909779301} is an apocalyptic number.

It is an amenable number.

103977909779301 is a deficient number, since it is larger than the sum of its proper divisors (46212404346369).

103977909779301 is a wasteful number, since it uses less digits than its factorization.

103977909779301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11553101086595 (or 11553101086592 counting only the distinct ones).

The product of its (nonzero) digits is 141776649, while the sum is 72.

The spelling of 103977909779301 in words is "one hundred three trillion, nine hundred seventy-seven billion, nine hundred nine million, seven hundred seventy-nine thousand, three hundred one".