107731626240 has 576 divisors, whose sum is σ = 409103493120. Its totient is φ = 23648993280.

The previous prime is 107731626217. The next prime is 107731626263. The reversal of 107731626240 is 42626137701.

It is an interprime number because it is at equal distance from previous prime (107731626217) and next prime (107731626263).

It is a super-2 number, since 2×107731626240² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 73838631 + ... + 73840089.

It is an arithmetic number, because the mean of its divisors is an integer number (710249120).

Almost surely, 2^107731626240 is an apocalyptic number.

107731626240 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 107731626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204551746560).

107731626240 is an abundant number, since it is smaller than the sum of its proper divisors (301371866880).

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

107731626240 is a wasteful number, since it uses less digits than its factorization.

107731626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 107731626240 in words is "one hundred seven billion, seven hundred thirty-one million, six hundred twenty-six thousand, two hundred forty".