106065708460800 has 432 divisors, whose sum is σ = 381962744069760. Its totient is φ = 25706024960000.

The previous prime is 106065708460741. The next prime is 106065708460813. The reversal of 106065708460800 is 8064807560601.

It is a super-2 number, since 2×106065708460800² (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 47 ways as a sum of consecutive naturals, for example, 813265996 + ... + 813396404.

It is an arithmetic number, because the mean of its divisors is an integer number (884173018680).

Almost surely, 2^{106065708460800} is an apocalyptic number.

106065708460800 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 106065708460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190981372034880).

106065708460800 is an abundant number, since it is smaller than the sum of its proper divisors (275897035608960).

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

106065708460800 is a wasteful number, since it uses less digits than its factorization.

106065708460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134300 (or 134281 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 106065708460800 in words is "one hundred six trillion, sixty-five billion, seven hundred eight million, four hundred sixty thousand, eight hundred".