10658291121 has 15 divisors (see below), whose sum is σ = 15923032873. Its totient is φ = 7104907980.

The previous prime is 10658291113. The next prime is 10658291141. The reversal of 10658291121 is 12119285601.

The square root of 10658291121 is 103239.

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

It is not a de Polignac number, because 10658291121 - 2³ = 10658291113 is a prime.

It is a super-2 number, since 2×10658291121² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10658291141) 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, 923416 + ... + 934886.

Almost surely, 2^10658291121 is an apocalyptic number.

10658291121 is the 103239-th square number.

10658291121 is the 51620-th centered octagonal number.

It is an amenable number.

10658291121 is a deficient number, since it is larger than the sum of its proper divisors (5264741752).

10658291121 is an frugal number, since it uses more digits than its factorization.

10658291121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22954 (or 11474 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

Multiplying 10658291121 by its sum of digits (36), we get a square (383698480356 = 619434²).

The spelling of 10658291121 in words is "ten billion, six hundred fifty-eight million, two hundred ninety-one thousand, one hundred twenty-one".