10102333504 has 112 divisors (see below), whose sum is σ = 21615044400. Its totient is φ = 4667801600.

The previous prime is 10102333471. The next prime is 10102333513. The reversal of 10102333504 is 40533320101.

It can be written as a sum of positive squares in 8 ways, for example, as 71910400 + 10030423104 = 8480^2 + 100152^2 .

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 15 ways as a sum of consecutive naturals, for example, 16373004 + ... + 16373620.

Almost surely, 2^10102333504 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 10102333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10807522200).

10102333504 is an abundant number, since it is smaller than the sum of its proper divisors (11512710896).

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

10102333504 is a wasteful number, since it uses less digits than its factorization.

10102333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 10102333504 its reverse (40533320101), we get a palindrome (50635653605).

The spelling of 10102333504 in words is "ten billion, one hundred two million, three hundred thirty-three thousand, five hundred four".