102984193104 has 160 divisors (see below), whose sum is σ = 303600568320. Its totient is φ = 29799899136.

The previous prime is 102984193097. The next prime is 102984193111. The reversal of 102984193104 is 401391489201.

It is an interprime number because it is at equal distance from previous prime (102984193097) and next prime (102984193111).

It is a super-2 number, since 2×102984193104² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16937937 + ... + 16944015.

It is an arithmetic number, because the mean of its divisors is an integer number (1897503552).

Almost surely, 2^102984193104 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 102984193104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151800284160).

102984193104 is an abundant number, since it is smaller than the sum of its proper divisors (200616375216).

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

102984193104 is a wasteful number, since it uses less digits than its factorization.

102984193104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7717 (or 7711 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 102984193104 in words is "one hundred two billion, nine hundred eighty-four million, one hundred ninety-three thousand, one hundred four".