10500132642304 has 160 divisors (see below), whose sum is σ = 22467728375136. Its totient is φ = 4884993146880.

The previous prime is 10500132642277. The next prime is 10500132642367. The reversal of 10500132642304 is 40324623100501.

It is a super-2 number, since 2×10500132642304² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390456699 + ... + 390483589.

Almost surely, 2^{10500132642304} 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 10500132642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11233864187568).

10500132642304 is an abundant number, since it is smaller than the sum of its proper divisors (11967595732832).

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

10500132642304 is a wasteful number, since it uses less digits than its factorization.

10500132642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27436 (or 27420 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 10500132642304 its reverse (40324623100501), we get a palindrome (50824755742805).

The spelling of 10500132642304 in words is "ten trillion, five hundred billion, one hundred thirty-two million, six hundred forty-two thousand, three hundred four".