103402927450729 has 9 divisors (see below), whose sum is σ = 103897467145719. Its totient is φ = 102910730751360.

The previous prime is 103402927450727. The next prime is 103402927450751. The reversal of 103402927450729 is 927054729204301.

The square root of 103402927450729 is 10168723.

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

It can be written as a sum of positive squares in only one way, i.e., 77398557546025 + 26004369904704 = 8797645^2 + 5099448^2 .

It is not a de Polignac number, because 103402927450729 - 2¹ = 103402927450727 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103402927450729.

It is not an unprimeable number, because it can be changed into a prime (103402927450727) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2145576457 + ... + 2145624649.

It is an arithmetic number, because the mean of its divisors is an integer number (11544163016191).

Almost surely, 2^{103402927450729} is an apocalyptic number.

103402927450729 is the 10168723-rd square number.

103402927450729 is the 5084362-nd centered octagonal number.

It is an amenable number.

103402927450729 is a deficient number, since it is larger than the sum of its proper divisors (494539694990).

103402927450729 is an frugal number, since it uses more digits than its factorization.

103402927450729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96808 (or 48404 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 103402927450729 in words is "one hundred three trillion, four hundred two billion, nine hundred twenty-seven million, four hundred fifty thousand, seven hundred twenty-nine".