106760656853300 has 36 divisors (see below), whose sum is σ = 236041769258316. Its totient is φ = 41898521932800.

The previous prime is 106760656853281. The next prime is 106760656853381. The reversal of 106760656853300 is 3358656067601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1299169936 + 106759357683364 = 36044^2 + 10332442^2 .

It is a super-2 number, since 2×106760656853300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 10071754781 + ... + 10071765380.

It is an arithmetic number, because the mean of its divisors is an integer number (6556715812731).

Almost surely, 2^{106760656853300} is an apocalyptic number.

106760656853300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106760656853300 is an abundant number, since it is smaller than the sum of its proper divisors (129281112405016).

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

106760656853300 is a wasteful number, since it uses less digits than its factorization.

106760656853300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20143520228 (or 20143520221 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 56.

The spelling of 106760656853300 in words is "one hundred six trillion, seven hundred sixty billion, six hundred fifty-six million, eight hundred fifty-three thousand, three hundred".