106579607587589 has 2 divisors, whose sum is σ = 106579607587590. Its totient is φ = 106579607587588.

The previous prime is 106579607587529. The next prime is 106579607587603. The reversal of 106579607587589 is 985785706975601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77962136366689 + 28617471220900 = 8829617^2 + 5349530^2 .

It is a cyclic number.

It is not a de Polignac number, because 106579607587589 - 2²⁰ = 106579606539013 is a prime.

It is a super-2 number, since 2×106579607587589² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106579607587529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53289803793794 + 53289803793795.

It is an arithmetic number, because the mean of its divisors is an integer number (53289803793795).

Almost surely, 2^{106579607587589} is an apocalyptic number.

It is an amenable number.

106579607587589 is a deficient number, since it is larger than the sum of its proper divisors (1).

106579607587589 is an equidigital number, since it uses as much as digits as its factorization.

106579607587589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8001504000, while the sum is 83.

The spelling of 106579607587589 in words is "one hundred six trillion, five hundred seventy-nine billion, six hundred seven million, five hundred eighty-seven thousand, five hundred eighty-nine".