106756103060 has 96 divisors (see below), whose sum is σ = 235235180544. Its totient is φ = 40649040000.

The previous prime is 106756103033. The next prime is 106756103063. The reversal of 106756103060 is 60301657601.

It is a happy number.

It is a super-3 number, since 3×106756103060³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106756103060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106756103063) by changing a digit.

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, 9637325 + ... + 9648395.

It is an arithmetic number, because the mean of its divisors is an integer number (2450366464).

Almost surely, 2^106756103060 is an apocalyptic number.

106756103060 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 106756103060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117617590272).

106756103060 is an abundant number, since it is smaller than the sum of its proper divisors (128479077484).

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

106756103060 is a wasteful number, since it uses less digits than its factorization.

106756103060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11365 (or 11363 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 106756103060 in words is "one hundred six billion, seven hundred fifty-six million, one hundred three thousand, sixty".