10098203106289 has 9 divisors (see below), whose sum is σ = 10112481893451. Its totient is φ = 10083944465760.

The previous prime is 10098203106281. The next prime is 10098203106301. The reversal of 10098203106289 is 98260130289001.

The square root of 10098203106289 is 3177767.

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., 1771515746289 + 8326687360000 = 1330983^2 + 2885600^2 .

It is not a de Polignac number, because 10098203106289 - 2³ = 10098203106281 is a prime.

It is a super-3 number, since 3×10098203106289³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10098203106281) 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, 2799610924 + ... + 2799614530.

Almost surely, 2^{10098203106289} is an apocalyptic number.

10098203106289 is the 3177767-th square number.

10098203106289 is the 1588884-th centered octagonal number.

It is an amenable number.

10098203106289 is a deficient number, since it is larger than the sum of its proper divisors (14278787162).

10098203106289 is an frugal number, since it uses more digits than its factorization.

10098203106289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

Multiplying 10098203106289 by its sum of digits (49), we get a square (494811952208161 = 22244369²).

The spelling of 10098203106289 in words is "ten trillion, ninety-eight billion, two hundred three million, one hundred six thousand, two hundred eighty-nine".