106579607587600 has 405 divisors, whose sum is σ = 306284417849277. Its totient is φ = 35536130058240.

The previous prime is 106579607587589. The next prime is 106579607587603. The reversal of 106579607587600 is 6785706975601.

The square root of 106579607587600 is 10323740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 5590935914256 + 100988671673344 = 2364516^2 + 10049312^2 .

It is a super-2 number, since 2×106579607587600² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106579607587603) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 53476972204 + ... + 53476974196.

Almost surely, 2^{106579607587600} is an apocalyptic number.

106579607587600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106579607587600 is the 10323740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106579607587600

106579607587600 is an abundant number, since it is smaller than the sum of its proper divisors (199704810261677).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106579607587600 is an frugal number, since it uses more digits than its factorization.

106579607587600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 67.

The spelling of 106579607587600 in words is "one hundred six trillion, five hundred seventy-nine billion, six hundred seven million, five hundred eighty-seven thousand, six hundred".