107230103040 has 640 divisors, whose sum is σ = 380135669760. Its totient is φ = 25664421888.

The previous prime is 107230102997. The next prime is 107230103053. The reversal of 107230103040 is 40301032701.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×107230103040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107230102998 and 107230103016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480852369 + ... + 480852591.

It is an arithmetic number, because the mean of its divisors is an integer number (593961984).

Almost surely, 2^107230103040 is an apocalyptic number.

107230103040 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 107230103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190067834880).

107230103040 is an abundant number, since it is smaller than the sum of its proper divisors (272905566720).

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

107230103040 is a wasteful number, since it uses less digits than its factorization.

107230103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 107230103040 its reverse (40301032701), we get a palindrome (147531135741).

The spelling of 107230103040 in words is "one hundred seven billion, two hundred thirty million, one hundred three thousand, forty".