106310257424 has 80 divisors (see below), whose sum is σ = 240983052288. Its totient is φ = 44482144896.

The previous prime is 106310257423. The next prime is 106310257439. The reversal of 106310257424 is 424752013601.

It is a super-2 number, since 2×106310257424² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106310257423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16693889 + ... + 16700255.

Almost surely, 2^106310257424 is an apocalyptic number.

106310257424 is a gapful number since it is divisible by the number (14) 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 106310257424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120491526144).

106310257424 is an abundant number, since it is smaller than the sum of its proper divisors (134672794864).

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

106310257424 is a wasteful number, since it uses less digits than its factorization.

106310257424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9892 (or 9886 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 106310257424 in words is "one hundred six billion, three hundred ten million, two hundred fifty-seven thousand, four hundred twenty-four".