103838688276129 has 45 divisors (see below), whose sum is σ = 156831308438259. Its totient is φ = 66205662724080.

The previous prime is 103838688276121. The next prime is 103838688276149. The reversal of 103838688276129 is 921672886838301.

The square root of 103838688276129 is 10190127.

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

103838688276129 is a `hidden beast` number, since 1 + 0 + 3 + 83 + 86 + 88 + 276 + 129 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28756116675729 + 75082571600400 = 5362473^2 + 8665020^2 .

It is not a de Polignac number, because 103838688276129 - 2³ = 103838688276121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103838688276121) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16171728339 + ... + 16171734759.

Almost surely, 2^{103838688276129} is an apocalyptic number.

103838688276129 is the 10190127-th square number.

103838688276129 is the 5095064-th centered octagonal number.

It is an amenable number.

103838688276129 is a deficient number, since it is larger than the sum of its proper divisors (52992620162130).

103838688276129 is an frugal number, since it uses more digits than its factorization.

103838688276129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12940 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 103838688276129 in words is "one hundred three trillion, eight hundred thirty-eight billion, six hundred eighty-eight million, two hundred seventy-six thousand, one hundred twenty-nine".