107306424960 has 512 divisors, whose sum is σ = 402333696000. Its totient is φ = 24315088896.

The previous prime is 107306424959. The next prime is 107306424961. The reversal of 107306424960 is 69424603701.

It is an interprime number because it is at equal distance from previous prime (107306424959) and next prime (107306424961).

It is a super-2 number, since 2×107306424960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (107306424961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83636479 + ... + 83637761.

It is an arithmetic number, because the mean of its divisors is an integer number (785808000).

Almost surely, 2^107306424960 is an apocalyptic number.

107306424960 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 107306424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201166848000).

107306424960 is an abundant number, since it is smaller than the sum of its proper divisors (295027271040).

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

107306424960 is a wasteful number, since it uses less digits than its factorization.

107306424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 107306424960 in words is "one hundred seven billion, three hundred six million, four hundred twenty-four thousand, nine hundred sixty".