102199011840 has 480 divisors, whose sum is σ = 375197771520. Its totient is φ = 25636995072.

The previous prime is 102199011839. The next prime is 102199011869. The reversal of 102199011840 is 48110991201.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 102199011795 and 102199011804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68727577 + ... + 68729063.

It is an arithmetic number, because the mean of its divisors is an integer number (781662024).

Almost surely, 2^102199011840 is an apocalyptic number.

102199011840 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 102199011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187598885760).

102199011840 is an abundant number, since it is smaller than the sum of its proper divisors (272998759680).

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

102199011840 is a wasteful number, since it uses less digits than its factorization.

102199011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 102199011840 in words is "one hundred two billion, one hundred ninety-nine million, eleven thousand, eight hundred forty".