102102000096 has 96 divisors (see below), whose sum is σ = 282491465760. Its totient is φ = 32240359424.

The previous prime is 102102000089. The next prime is 102102000103. The reversal of 102102000096 is 690000201201.

It is an interprime number because it is at equal distance from previous prime (102102000089) and next prime (102102000103).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 198435 + ... + 493538.

It is an arithmetic number, because the mean of its divisors is an integer number (2942619435).

Almost surely, 2^102102000096 is an apocalyptic number.

102102000096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102102000096 is an abundant number, since it is smaller than the sum of its proper divisors (180389465664).

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

102102000096 is a wasteful number, since it uses less digits than its factorization.

102102000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692068 (or 692060 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 102102000096 its reverse (690000201201), we get a palindrome (792102201297).

The spelling of 102102000096 in words is "one hundred two billion, one hundred two million, ninety-six", and thus it is an aban number.