102985346016 has 144 divisors (see below), whose sum is σ = 345499435008. Its totient is φ = 28475193600.

The previous prime is 102985346003. The next prime is 102985346029. The reversal of 102985346016 is 610643589201.

102985346016 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 8 + 5 + 34 + 601 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (102985346003) and next prime (102985346029).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 761440 + ... + 886431.

It is an arithmetic number, because the mean of its divisors is an integer number (2399301632).

Almost surely, 2^102985346016 is an apocalyptic number.

102985346016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102985346016 is an abundant number, since it is smaller than the sum of its proper divisors (242514088992).

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

102985346016 is a wasteful number, since it uses less digits than its factorization.

102985346016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647925 (or 1647914 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 102985346016 in words is "one hundred two billion, nine hundred eighty-five million, three hundred forty-six thousand, sixteen".