10606401022009 has 27 divisors (see below), whose sum is σ = 11532868847469. Its totient is φ = 9749918898720.

The previous prime is 10606401021991. The next prime is 10606401022057. The reversal of 10606401022009 is 90022010460601.

The square root of 10606401022009 is 3256747.

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 61625580025 + 10544775441984 = 248245^2 + 3247272^2 .

It is not a de Polignac number, because 10606401022009 - 2²³ = 10606392633401 is a prime.

It is a super-2 number, since 2×10606401022009² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10606401025009) 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, 16045992139 + ... + 16045992799.

It is an arithmetic number, because the mean of its divisors is an integer number (427143290647).

Almost surely, 2^{10606401022009} is an apocalyptic number.

10606401022009 is the 3256747-th square number.

10606401022009 is the 1628374-th centered octagonal number.

It is an amenable number.

10606401022009 is a deficient number, since it is larger than the sum of its proper divisors (926467825460).

10606401022009 is an frugal number, since it uses more digits than its factorization.

10606401022009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 10606401022009 in words is "ten trillion, six hundred six billion, four hundred one million, twenty-two thousand, nine".