106581449070720 has 1536 divisors, whose sum is σ = 429392484218880. Its totient is φ = 24121782042624.

The previous prime is 106581449070631. The next prime is 106581449070731. The reversal of 106581449070720 is 27070944185601.

106581449070720 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 8 + 14 + 490 + 70 + 72 + 0 = 666.

106581449070720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106581449070720² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40264996437 + ... + 40264999083.

It is an arithmetic number, because the mean of its divisors is an integer number (279552398580).

Almost surely, 2^{106581449070720} is an apocalyptic number.

106581449070720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106581449070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214696242109440).

106581449070720 is an abundant number, since it is smaller than the sum of its proper divisors (322811035148160).

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

106581449070720 is a wasteful number, since it uses less digits than its factorization.

106581449070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 106581449070720 in words is "one hundred six trillion, five hundred eighty-one billion, four hundred forty-nine million, seventy thousand, seven hundred twenty".