102198218940 has 192 divisors, whose sum is σ = 328473169920. Its totient is φ = 26352311040.

The previous prime is 102198218933. The next prime is 102198218953. The reversal of 102198218940 is 49812891201.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37948234 + ... + 37950926.

It is an arithmetic number, because the mean of its divisors is an integer number (1710797760).

Almost surely, 2^102198218940 is an apocalyptic number.

102198218940 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 102198218940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164236584960).

102198218940 is an abundant number, since it is smaller than the sum of its proper divisors (226274950980).

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

102198218940 is a wasteful number, since it uses less digits than its factorization.

102198218940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 102198218940 in words is "one hundred two billion, one hundred ninety-eight million, two hundred eighteen thousand, nine hundred forty".