102788309650 has 72 divisors (see below), whose sum is σ = 207184200300. Its totient is φ = 37923275520.

The previous prime is 102788309647. The next prime is 102788309653. The reversal of 102788309650 is 56903887201.

It is an interprime number because it is at equal distance from previous prime (102788309647) and next prime (102788309653).

It can be written as a sum of positive squares in 18 ways, for example, as 66605802561 + 36182507089 = 258081^2 + 190217^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102788309594 and 102788309603.

It is not an unprimeable number, because it can be changed into a prime (102788309653) 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 35 ways as a sum of consecutive naturals, for example, 13085124 + ... + 13092976.

Almost surely, 2^102788309650 is an apocalyptic number.

102788309650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102788309650 is an abundant number, since it is smaller than the sum of its proper divisors (104395890650).

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

102788309650 is a wasteful number, since it uses less digits than its factorization.

102788309650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440 (or 9422 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 102788309650 in words is "one hundred two billion, seven hundred eighty-eight million, three hundred nine thousand, six hundred fifty".