10332734112 has 96 divisors (see below), whose sum is σ = 30224376000. Its totient is φ = 3434275584.

The previous prime is 10332734099. The next prime is 10332734117. The reversal of 10332734112 is 21143723301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10332734117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284403 + ... + 318669.

It is an arithmetic number, because the mean of its divisors is an integer number (314837250).

Almost surely, 2^10332734112 is an apocalyptic number.

10332734112 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 10332734112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15112188000).

10332734112 is an abundant number, since it is smaller than the sum of its proper divisors (19891641888).

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

10332734112 is a wasteful number, since it uses less digits than its factorization.

10332734112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34635 (or 34621 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10332734112 in words is "ten billion, three hundred thirty-two million, seven hundred thirty-four thousand, one hundred twelve".