107094003287040 has 1056 divisors, whose sum is σ = 482757881389056. Its totient is φ = 21285748408320.

The previous prime is 107094003287039. The next prime is 107094003287041. The reversal of 107094003287040 is 40782300490701.

107094003287040 is a `hidden beast` number, since 107 + 0 + 9 + 400 + 32 + 8 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (107094003287039) and next prime (107094003287041).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×107094003287040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (107094003287041) 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 95 ways as a sum of consecutive naturals, for example, 80951529 + ... + 82263831.

Almost surely, 2^{107094003287040} is an apocalyptic number.

107094003287040 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 107094003287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241378940694528).

107094003287040 is an abundant number, since it is smaller than the sum of its proper divisors (375663878102016).

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

107094003287040 is a wasteful number, since it uses less digits than its factorization.

107094003287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312375 (or 1312354 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 107094003287040 in words is "one hundred seven trillion, ninety-four billion, three million, two hundred eighty-seven thousand, forty".