107103306240 has 1200 divisors, whose sum is σ = 455172867072. Its totient is φ = 23995367424.

The previous prime is 107103306239. The next prime is 107103306257. The reversal of 107103306240 is 42603301701.

107103306240 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 0 + 3 + 30 + 624 + 0 = 666.

It is a super-2 number, since 2×107103306240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 843333057 + ... + 843333183.

Almost surely, 2^107103306240 is an apocalyptic number.

107103306240 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 107103306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227586433536).

107103306240 is an abundant number, since it is smaller than the sum of its proper divisors (348069560832).

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

107103306240 is an equidigital number, since it uses as much as digits as its factorization.

107103306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 107103306240 its reverse (42603301701), we get a palindrome (149706607941).

The spelling of 107103306240 in words is "one hundred seven billion, one hundred three million, three hundred six thousand, two hundred forty".