10029421609 has 27 divisors (see below), whose sum is σ = 10987821957. Its totient is φ = 9152634624.

The previous prime is 10029421547. The next prime is 10029421621. The reversal of 10029421609 is 90612492001.

The square root of 10029421609 is 100147.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1402727209 + 8626694400 = 37453^2 + 92880^2 .

It is not a de Polignac number, because 10029421609 - 2¹³ = 10029413417 is a prime.

It is a super-2 number, since 2×10029421609² (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 (10029421679) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73207389 + ... + 73207525.

Almost surely, 2^10029421609 is an apocalyptic number.

10029421609 is the 100147-th square number.

10029421609 is the 50074-th centered octagonal number.

It is an amenable number.

10029421609 is a deficient number, since it is larger than the sum of its proper divisors (958400348).

10029421609 is an frugal number, since it uses more digits than its factorization.

10029421609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 10029421609 in words is "ten billion, twenty-nine million, four hundred twenty-one thousand, six hundred nine".