106760065260 has 96 divisors (see below), whose sum is σ = 303190272000. Its totient is φ = 28066072320.

The previous prime is 106760065187. The next prime is 106760065283. The reversal of 106760065260 is 62560067601.

It is a super-2 number, since 2×106760065260² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260445 + ... + 1342475.

It is an arithmetic number, because the mean of its divisors is an integer number (3158232000).

Almost surely, 2^106760065260 is an apocalyptic number.

106760065260 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 106760065260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151595136000).

106760065260 is an abundant number, since it is smaller than the sum of its proper divisors (196430206740).

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

106760065260 is a wasteful number, since it uses less digits than its factorization.

106760065260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82351 (or 82349 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 106760065260 in words is "one hundred six billion, seven hundred sixty million, sixty-five thousand, two hundred sixty".