102004100 has 72 divisors (see below), whose sum is σ = 246734208. Its totient is φ = 36284800.

The previous prime is 102004099. The next prime is 102004117. The reversal of 102004100 is 1400201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50714 + ... + 52686.

It is an arithmetic number, because the mean of its divisors is an integer number (3426864).

Almost surely, 2^102004100 is an apocalyptic number.

102004100 is a gapful number since it is divisible by the number (10) 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 102004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123367104).

102004100 is an abundant number, since it is smaller than the sum of its proper divisors (144730108).

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

102004100 is a wasteful number, since it uses less digits than its factorization.

102004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 102004100 is about 10099.7079165687. The cubic root of 102004100 is about 467.2391330614.

Adding to 102004100 its reverse (1400201), we get a palindrome (103404301).

The spelling of 102004100 in words is "one hundred two million, four thousand, one hundred".