102017104 has 40 divisors (see below), whose sum is σ = 227554880. Its totient is φ = 43400448.

The previous prime is 102017101. The next prime is 102017129. The reversal of 102017104 is 401710201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102017101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12292 + ... + 18844.

It is an arithmetic number, because the mean of its divisors is an integer number (5688872).

Almost surely, 2^102017104 is an apocalyptic number.

102017104 is a gapful number since it is divisible by the number (14) 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 102017104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113777440).

102017104 is an abundant number, since it is smaller than the sum of its proper divisors (125537776).

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

102017104 is a wasteful number, since it uses less digits than its factorization.

102017104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 102017104 is about 10100.3516770457. The cubic root of 102017104 is about 467.2589875558.

Adding to 102017104 its reverse (401710201), we get a palindrome (503727305).

The spelling of 102017104 in words is "one hundred two million, seventeen thousand, one hundred four".