10132300992 has 112 divisors (see below), whose sum is σ = 29310982272. Its totient is φ = 3063521280.

The previous prime is 10132300963. The next prime is 10132301027. The reversal of 10132300992 is 29900323101.

It is a happy number.

10132300992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10132300992³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981168 + ... + 991440.

Almost surely, 2^10132300992 is an apocalyptic number.

10132300992 is a gapful number since it is divisible by the number (12) 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 10132300992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14655491136).

10132300992 is an abundant number, since it is smaller than the sum of its proper divisors (19178681280).

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

10132300992 is a wasteful number, since it uses less digits than its factorization.

10132300992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10766 (or 10756 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

It can be divided in two parts, 101323009 and 92, that added together give a palindrome (101323101).

The spelling of 10132300992 in words is "ten billion, one hundred thirty-two million, three hundred thousand, nine hundred ninety-two".