106181337360 has 640 divisors, whose sum is σ = 406031155200. Its totient is φ = 22417274880.

The previous prime is 106181337349. The next prime is 106181337373. The reversal of 106181337360 is 63733181601.

It is a super-2 number, since 2×106181337360² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 280161651 + ... + 280162029.

It is an arithmetic number, because the mean of its divisors is an integer number (634423680).

Almost surely, 2^106181337360 is an apocalyptic number.

106181337360 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 106181337360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203015577600).

106181337360 is an abundant number, since it is smaller than the sum of its proper divisors (299849817840).

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

106181337360 is a wasteful number, since it uses less digits than its factorization.

106181337360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 106181337360 in words is "one hundred six billion, one hundred eighty-one million, three hundred thirty-seven thousand, three hundred sixty".