102306838176 has 144 divisors (see below), whose sum is σ = 298810610280. Its totient is φ = 33183498240.

The previous prime is 102306838171. The next prime is 102306838187. The reversal of 102306838176 is 671838603201.

It can be written as a sum of positive squares in 4 ways, for example, as 14645840400 + 87660997776 = 121020^2 + 296076^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (102306838171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4582176 + ... + 4604448.

Almost surely, 2^102306838176 is an apocalyptic number.

102306838176 is a gapful number since it is divisible by the number (16) 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 102306838176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149405305140).

102306838176 is an abundant number, since it is smaller than the sum of its proper divisors (196503772104).

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

102306838176 is a wasteful number, since it uses less digits than its factorization.

102306838176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22719 (or 22708 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 102306838176 in words is "one hundred two billion, three hundred six million, eight hundred thirty-eight thousand, one hundred seventy-six".