106581355024 has 45 divisors (see below), whose sum is σ = 219408753351. Its totient is φ = 50145484800.

The previous prime is 106581354989. The next prime is 106581355141. The reversal of 106581355024 is 420553185601.

The square root of 106581355024 is 326468.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14184810000 + 92396545024 = 119100^2 + 303968^2 .

It is a super-2 number, since 2×106581355024² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22197424 + ... + 22202224.

Almost surely, 2^106581355024 is an apocalyptic number.

106581355024 is the 326468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106581355024

106581355024 is an abundant number, since it is smaller than the sum of its proper divisors (112827398327).

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

106581355024 is an frugal number, since it uses more digits than its factorization.

106581355024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9644 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 106581355024 in words is "one hundred six billion, five hundred eighty-one million, three hundred fifty-five thousand, twenty-four".