102189650004 has 192 divisors, whose sum is σ = 291255247360. Its totient is φ = 30792960000.

The previous prime is 102189649927. The next prime is 102189650033. The reversal of 102189650004 is 400056981201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20637729 + ... + 20642679.

Almost surely, 2^102189650004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102189650004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145627623680).

102189650004 is an abundant number, since it is smaller than the sum of its proper divisors (189065597356).

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

102189650004 is a wasteful number, since it uses less digits than its factorization.

102189650004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 102189650004 in words is "one hundred two billion, one hundred eighty-nine million, six hundred fifty thousand, four".