107103456000 has 1296 divisors, whose sum is σ = 435539526240. Its totient is φ = 25181798400.

The previous prime is 107103455999. The next prime is 107103456001. The reversal of 107103456000 is 654301701.

107103456000 is a `hidden beast` number, since 1 + 0 + 7 + 10 + 3 + 45 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (107103455999) and next prime (107103456001).

It is a super-2 number, since 2×107103456000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107103456001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2894687982 + ... + 2894688018.

Almost surely, 2^107103456000 is an apocalyptic number.

107103456000 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 107103456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217769763120).

107103456000 is an abundant number, since it is smaller than the sum of its proper divisors (328436070240).

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

107103456000 is a wasteful number, since it uses less digits than its factorization.

107103456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 107103456000 its reverse (654301701), we get a palindrome (107757757701).

The spelling of 107103456000 in words is "one hundred seven billion, one hundred three million, four hundred fifty-six thousand".