101062809 has 15 divisors (see below), whose sum is σ = 151105647. Its totient is φ = 67314888.

The previous prime is 101062789. The next prime is 101062817. The reversal of 101062809 is 908260101.

The square root of 101062809 is 10053.

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., 4473225 + 96589584 = 2115^2 + 9828^2 .

It is not a de Polignac number, because 101062809 - 2⁵ = 101062777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101062859) 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, 89919 + ... + 91035.

Almost surely, 2^101062809 is an apocalyptic number.

101062809 is the 10053-rd square number.

101062809 is the 5027-th centered octagonal number.

It is an amenable number.

101062809 is a deficient number, since it is larger than the sum of its proper divisors (50042838).

101062809 is an frugal number, since it uses more digits than its factorization.

101062809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The cubic root of 101062809 is about 465.7974661263.

The spelling of 101062809 in words is "one hundred one million, sixty-two thousand, eight hundred nine".