103832817361 has 27 divisors (see below), whose sum is σ = 130827928113. Its totient is φ = 82130237280.

The previous prime is 103832817359. The next prime is 103832817373. The reversal of 103832817361 is 163718238301.

The square root of 103832817361 is 322231.

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 21495958225 + 82336859136 = 146615^2 + 286944^2 .

It is not a de Polignac number, because 103832817361 - 2¹ = 103832817359 is a prime.

It is a super-2 number, since 2×103832817361² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103832817301) 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, 29321251 + ... + 29324791.

It is an arithmetic number, because the mean of its divisors is an integer number (4845478819).

Almost surely, 2^103832817361 is an apocalyptic number.

103832817361 is the 322231-st square number.

103832817361 is the 161116-th centered octagonal number.

It is an amenable number.

103832817361 is a deficient number, since it is larger than the sum of its proper divisors (26995110752).

103832817361 is an frugal number, since it uses more digits than its factorization.

103832817361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7122 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 103832817361 in words is "one hundred three billion, eight hundred thirty-two million, eight hundred seventeen thousand, three hundred sixty-one".