107006432 has 48 divisors (see below), whose sum is σ = 240235632. Its totient is φ = 46479360.

The previous prime is 107006429. The next prime is 107006447. The reversal of 107006432 is 234600701.

It is a super-4 number, since 4×107006432⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 107006398 and 107006407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494 + ... + 14637.

It is an arithmetic number, because the mean of its divisors is an integer number (5004909).

Almost surely, 2^107006432 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 107006432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120117816).

107006432 is an abundant number, since it is smaller than the sum of its proper divisors (133229200).

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

107006432 is a wasteful number, since it uses less digits than its factorization.

107006432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15171 (or 15163 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 107006432 is about 10344.3913305714. The cubic root of 107006432 is about 474.7554523280.

The spelling of 107006432 in words is "one hundred seven million, six thousand, four hundred thirty-two".