107406263432 has 64 divisors (see below), whose sum is σ = 230148702000. Its totient is φ = 46551859200.

The previous prime is 107406263431. The next prime is 107406263473. The reversal of 107406263432 is 234362604701.

107406263432 is digitally balanced in base 3, 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 8 ways, for example, as 64103150596 + 43303112836 = 253186^2 + 208094^2 .

It is a super-2 number, since 2×107406263432² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107406263431) 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, 726182 + ... + 861482.

Almost surely, 2^107406263432 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 107406263432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115074351000).

107406263432 is an abundant number, since it is smaller than the sum of its proper divisors (122742438568).

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

107406263432 is a wasteful number, since it uses less digits than its factorization.

107406263432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135786 (or 135782 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 107406263432 in words is "one hundred seven billion, four hundred six million, two hundred sixty-three thousand, four hundred thirty-two".