102027609700 has 36 divisors (see below), whose sum is σ = 234423441252. Its totient is φ = 38410393600.

The previous prime is 102027609679. The next prime is 102027609703. The reversal of 102027609700 is 7906720201.

102027609700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2666483044 + 99361126656 = 51638^2 + 315216^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (102027609703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30006421 + ... + 30009820.

It is an arithmetic number, because the mean of its divisors is an integer number (6511762257).

Almost surely, 2^102027609700 is an apocalyptic number.

102027609700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102027609700 is an abundant number, since it is smaller than the sum of its proper divisors (132395831552).

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

102027609700 is a wasteful number, since it uses less digits than its factorization.

102027609700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60016272 (or 60016265 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The spelling of 102027609700 in words is "one hundred two billion, twenty-seven million, six hundred nine thousand, seven hundred".