102098134944 has 432 divisors, whose sum is σ = 327360144384. Its totient is φ = 30137702400.

The previous prime is 102098134927. The next prime is 102098134967. The reversal of 102098134944 is 449431890201.

It is a self number, because there is not a number n which added to its sum of digits gives 102098134944.

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 71 ways as a sum of consecutive naturals, for example, 236886409 + ... + 236886839.

It is an arithmetic number, because the mean of its divisors is an integer number (757778112).

Almost surely, 2^102098134944 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 102098134944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163680072192).

102098134944 is an abundant number, since it is smaller than the sum of its proper divisors (225262009440).

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

102098134944 is a wasteful number, since it uses less digits than its factorization.

102098134944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 102098134944 in words is "one hundred two billion, ninety-eight million, one hundred thirty-four thousand, nine hundred forty-four".