107306310400 has 216 divisors, whose sum is σ = 276013584000. Its totient is φ = 41253273600.

The previous prime is 107306310383. The next prime is 107306310401. The reversal of 107306310400 is 4013603701.

It is a super-2 number, since 2×107306310400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (107306310401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44728401 + ... + 44730799.

Almost surely, 2^107306310400 is an apocalyptic number.

107306310400 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 107306310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138006792000).

107306310400 is an abundant number, since it is smaller than the sum of its proper divisors (168707273600).

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

107306310400 is a wasteful number, since it uses less digits than its factorization.

107306310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The spelling of 107306310400 in words is "one hundred seven billion, three hundred six million, three hundred ten thousand, four hundred".