103079002645089 has 117 divisors (see below), whose sum is σ = 163407452979843. Its totient is φ = 65013711440688.

The previous prime is 103079002645063. The next prime is 103079002645109. The reversal of 103079002645089 is 980546200970301.

The square root of 103079002645089 is 10152783.

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

103079002645089 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 7 + 90 + 0 + 26 + 450 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100841261900625 + 2237740744464 = 10041975^2 + 1495908^2 .

It is not a de Polignac number, because 103079002645089 - 2¹¹ = 103079002643041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103079002645019) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 140626196967 + ... + 140626197699.

It is a 1-persistent number, because it is pandigital, but 2⋅103079002645089 = 206158005290178 is not.

Almost surely, 2^{103079002645089} is an apocalyptic number.

103079002645089 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

103079002645089 is the 10152783-rd square number.

103079002645089 is the 5076392-nd centered octagonal number.

It is an amenable number.

103079002645089 is a deficient number, since it is larger than the sum of its proper divisors (60328450334754).

103079002645089 is an frugal number, since it uses more digits than its factorization.

103079002645089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 103079002645089 in words is "one hundred three trillion, seventy-nine billion, two million, six hundred forty-five thousand, eighty-nine".