101090294809 has 27 divisors (see below), whose sum is σ = 119995484637. Its totient is φ = 84914741184.

The previous prime is 101090294779. The next prime is 101090294813. The reversal of 101090294809 is 908492090101.

It is a happy number.

The square root of 101090294809 is 317947.

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 45968646409 + 55121648400 = 214403^2 + 234780^2 .

It is not a de Polignac number, because 101090294809 - 2⁵ = 101090294777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101090294849) 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, 117957909 + ... + 117958765.

Almost surely, 2^101090294809 is an apocalyptic number.

101090294809 is the 317947-th square number.

101090294809 is the 158974-th centered octagonal number.

It is an amenable number.

101090294809 is a deficient number, since it is larger than the sum of its proper divisors (18905189828).

101090294809 is an frugal number, since it uses more digits than its factorization.

101090294809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 101090294809 in words is "one hundred one billion, ninety million, two hundred ninety-four thousand, eight hundred nine".