106586570320 has 20 divisors (see below), whose sum is σ = 247813776180. Its totient is φ = 42634628096.

The previous prime is 106586570303. The next prime is 106586570351. The reversal of 106586570320 is 23075685601.

It can be written as a sum of positive squares in 2 ways, for example, as 72320117776 + 34266452544 = 268924^2 + 185112^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106586570320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 666165985 + ... + 666166144.

It is an arithmetic number, because the mean of its divisors is an integer number (12390688809).

Almost surely, 2^106586570320 is an apocalyptic number.

106586570320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106586570320 is an abundant number, since it is smaller than the sum of its proper divisors (141227205860).

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

106586570320 is a wasteful number, since it uses less digits than its factorization.

106586570320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332332142 (or 1332332136 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 106586570320 in words is "one hundred six billion, five hundred eighty-six million, five hundred seventy thousand, three hundred twenty".