102119840208 has 480 divisors, whose sum is σ = 332697456000. Its totient is φ = 30134550528.

The previous prime is 102119840167. The next prime is 102119840209. The reversal of 102119840208 is 802048911201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102119840209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 292606818 + ... + 292607166.

It is an arithmetic number, because the mean of its divisors is an integer number (693119700).

Almost surely, 2^102119840208 is an apocalyptic number.

102119840208 is a gapful number since it is divisible by the number (18) 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 102119840208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166348728000).

102119840208 is an abundant number, since it is smaller than the sum of its proper divisors (230577615792).

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

102119840208 is a wasteful number, since it uses less digits than its factorization.

102119840208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 102119840208 in words is "one hundred two billion, one hundred nineteen million, eight hundred forty thousand, two hundred eight".