102117281904 has 280 divisors, whose sum is σ = 329737971312. Its totient is φ = 30358748160.

The previous prime is 102117281899. The next prime is 102117281909. The reversal of 102117281904 is 409182711201.

It is an interprime number because it is at equal distance from previous prime (102117281899) and next prime (102117281909).

It is a super-3 number, since 3×102117281904³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102117281909) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6792604 + ... + 6807620.

Almost surely, 2^102117281904 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 102117281904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164868985656).

102117281904 is an abundant number, since it is smaller than the sum of its proper divisors (227620689408).

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

102117281904 is a wasteful number, since it uses less digits than its factorization.

102117281904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15107 (or 15086 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 102117281904 in words is "one hundred two billion, one hundred seventeen million, two hundred eighty-one thousand, nine hundred four".