10332407700 has 108 divisors (see below), whose sum is σ = 32574053148. Its totient is φ = 2739340800.

The previous prime is 10332407669. The next prime is 10332407719. The reversal of 10332407700 is 770423301.

10332407700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 261080964 + 10071326736 = 16158^2 + 100356^2 .

It is a super-3 number, since 3×10332407700³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 122520 + ... + 188880.

Almost surely, 2^10332407700 is an apocalyptic number.

10332407700 is a gapful number since it is divisible by the number (10) 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 10332407700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16287026574).

10332407700 is an abundant number, since it is smaller than the sum of its proper divisors (22241645448).

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

10332407700 is a wasteful number, since it uses less digits than its factorization.

10332407700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66554 (or 66544 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 10332407700 in words is "ten billion, three hundred thirty-two million, four hundred seven thousand, seven hundred".