103540437729 has 15 divisors (see below), whose sum is σ = 154675844323. Its totient is φ = 69025027824.

The previous prime is 103540437727. The next prime is 103540437731. The reversal of 103540437729 is 927734045301.

The square root of 103540437729 is 321777.

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

103540437729 is a `hidden beast` number, since 1 + 0 + 3 + 540 + 4 + 37 + 72 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (103540437727) and next prime (103540437731).

It can be written as a sum of positive squares in only one way, i.e., 94657752225 + 8882685504 = 307665^2 + 94248^2 .

It is not a de Polignac number, because 103540437729 - 2¹ = 103540437727 is a prime.

It is a super-3 number, since 3×103540437729³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103540437727) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2878117 + ... + 2913869.

Almost surely, 2^103540437729 is an apocalyptic number.

103540437729 is the 321777-th square number.

103540437729 is the 160889-th centered octagonal number.

It is an amenable number.

103540437729 is a deficient number, since it is larger than the sum of its proper divisors (51135406594).

103540437729 is an frugal number, since it uses more digits than its factorization.

103540437729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71518 (or 35756 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 103540437729 in words is "one hundred three billion, five hundred forty million, four hundred thirty-seven thousand, seven hundred twenty-nine".