102131104 has 48 divisors (see below), whose sum is σ = 214203528. Its totient is φ = 47767552.

The previous prime is 102131093. The next prime is 102131111. The reversal of 102131104 is 401131201.

It can be written as a sum of positive squares in 4 ways, for example, as 102010000 + 121104 = 10100^2 + 348^2 .

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 7 ways as a sum of consecutive naturals, for example, 106692 + ... + 107644.

Almost surely, 2^102131104 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 102131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107101764).

102131104 is an abundant number, since it is smaller than the sum of its proper divisors (112072424).

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

102131104 is a wasteful number, since it uses less digits than its factorization.

102131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 102131104 is about 10105.9934692241. The cubic root of 102131104 is about 467.4329704579.

Adding to 102131104 its reverse (401131201), we get a palindrome (503262305).

The spelling of 102131104 in words is "one hundred two million, one hundred thirty-one thousand, one hundred four".