106781771320 has 32 divisors (see below), whose sum is σ = 274581698400. Its totient is φ = 36610892928.

The previous prime is 106781771297. The next prime is 106781771321. The reversal of 106781771320 is 23177187601.

It is a happy number.

It is a super-3 number, since 3×106781771320³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106781771321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190681455 + ... + 190682014.

It is an arithmetic number, because the mean of its divisors is an integer number (8580678075).

Almost surely, 2^106781771320 is an apocalyptic number.

106781771320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106781771320 is an abundant number, since it is smaller than the sum of its proper divisors (167799927080).

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

106781771320 is a wasteful number, since it uses less digits than its factorization.

106781771320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381363487 (or 381363483 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 43.

The spelling of 106781771320 in words is "one hundred six billion, seven hundred eighty-one million, seven hundred seventy-one thousand, three hundred twenty".