102916008000 has 1120 divisors, whose sum is σ = 432272480640. Its totient is φ = 23962521600.

The previous prime is 102916007977. The next prime is 102916008023. The reversal of 102916008000 is 800619201.

It is an interprime number because it is at equal distance from previous prime (102916007977) and next prime (102916008023).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 160055679 + ... + 160056321.

It is an arithmetic number, because the mean of its divisors is an integer number (385957572).

Almost surely, 2^102916008000 is an apocalyptic number.

102916008000 is a gapful number since it is divisible by the number (10) 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 102916008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216136240320).

102916008000 is an abundant number, since it is smaller than the sum of its proper divisors (329356472640).

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

102916008000 is a wasteful number, since it uses less digits than its factorization.

102916008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 102916008000 in words is "one hundred two billion, nine hundred sixteen million, eight thousand".