107745514240 has 576 divisors, whose sum is σ = 332293570560. Its totient is φ = 32555335680.

The previous prime is 107745514231. The next prime is 107745514249. The reversal of 107745514240 is 42415547701.

It is an interprime number because it is at equal distance from previous prime (107745514231) and next prime (107745514249).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 107745514193 and 107745514202.

It is not an unprimeable number, because it can be changed into a prime (107745514249) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 564112545 + ... + 564112735.

It is an arithmetic number, because the mean of its divisors is an integer number (576898560).

Almost surely, 2^107745514240 is an apocalyptic number.

107745514240 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 107745514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166146785280).

107745514240 is an abundant number, since it is smaller than the sum of its proper divisors (224548056320).

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

107745514240 is a wasteful number, since it uses less digits than its factorization.

107745514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The spelling of 107745514240 in words is "one hundred seven billion, seven hundred forty-five million, five hundred fourteen thousand, two hundred forty".