106004372304 has 120 divisors (see below), whose sum is σ = 291156854848. Its totient is φ = 33226997760.

The previous prime is 106004372303. The next prime is 106004372339. The reversal of 106004372304 is 403273400601.

It is a super-2 number, since 2×106004372304² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106004372303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20070144 + ... + 20075424.

Almost surely, 2^106004372304 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 106004372304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145578427424).

106004372304 is an abundant number, since it is smaller than the sum of its proper divisors (185152482544).

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

106004372304 is a wasteful number, since it uses less digits than its factorization.

106004372304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6773 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

Adding to 106004372304 its reverse (403273400601), we get a palindrome (509277772905).

The spelling of 106004372304 in words is "one hundred six billion, four million, three hundred seventy-two thousand, three hundred four".