101359609 has 12 divisors (see below), whose sum is σ = 110078892. Its totient is φ = 93288000.

The previous prime is 101359603. The next prime is 101359619. The reversal of 101359609 is 906953101.

It can be written as a sum of positive squares in 6 ways, for example, as 57760000 + 43599609 = 7600^2 + 6603^2 .

It is not a de Polignac number, because 101359609 - 2¹³ = 101351417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101359603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77259 + ... + 78559.

It is an arithmetic number, because the mean of its divisors is an integer number (9173241).

Almost surely, 2^101359609 is an apocalyptic number.

It is an amenable number.

101359609 is a deficient number, since it is larger than the sum of its proper divisors (8719283).

101359609 is a wasteful number, since it uses less digits than its factorization.

101359609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 34.

The square root of 101359609 is about 10067.7509405030. The cubic root of 101359609 is about 466.2530032127.

The spelling of 101359609 in words is "one hundred one million, three hundred fifty-nine thousand, six hundred nine".