102106924110080 has 72 divisors (see below), whose sum is σ = 245142838234392. Its totient is φ = 40748444319744.

The previous prime is 102106924110071. The next prime is 102106924110119. The reversal of 102106924110080 is 80011429601201.

It can be written as a sum of positive squares in 4 ways, for example, as 8229738037504 + 93877186072576 = 2868752^2 + 9689024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102106924110080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91560119 + ... + 92668598.

Almost surely, 2^{102106924110080} is an apocalyptic number.

102106924110080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102106924110080 is an abundant number, since it is smaller than the sum of its proper divisors (143035914124312).

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

102106924110080 is an equidigital number, since it uses as much as digits as its factorization.

102106924110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184229171 (or 184229157 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The spelling of 102106924110080 in words is "one hundred two trillion, one hundred six billion, nine hundred twenty-four million, one hundred ten thousand, eighty".