106579607587599 has 128 divisors (see below), whose sum is σ = 152187111014400. Its totient is φ = 66228838663680.

The previous prime is 106579607587589. The next prime is 106579607587603. The reversal of 106579607587599 is 995785706975601.

It is a Cunningham number, because it is equal to 10323740²-1.

It is not a de Polignac number, because 106579607587599 - 2¹⁷ = 106579607456527 is a prime.

It is a super-2 number, since 2×106579607587599² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106579607587529) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94906150452 + ... + 94906151574.

It is an arithmetic number, because the mean of its divisors is an integer number (1188961804800).

Almost surely, 2^{106579607587599} is an apocalyptic number.

106579607587599 is a deficient number, since it is larger than the sum of its proper divisors (45607503426801).

106579607587599 is a wasteful number, since it uses less digits than its factorization.

106579607587599 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125.

The product of its (nonzero) digits is 9001692000, while the sum is 84.

The spelling of 106579607587599 in words is "one hundred six trillion, five hundred seventy-nine billion, six hundred seven million, five hundred eighty-seven thousand, five hundred ninety-nine".