107454630400 has 480 divisors, whose sum is σ = 304493511168. Its totient is φ = 37291622400.

The previous prime is 107454630377. The next prime is 107454630401. The reversal of 107454630400 is 4036454701.

It is not an unprimeable number, because it can be changed into a prime (107454630401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190860519 + ... + 190861081.

Almost surely, 2^107454630400 is an apocalyptic number.

107454630400 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 107454630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152246755584).

107454630400 is an abundant number, since it is smaller than the sum of its proper divisors (197038880768).

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

107454630400 is a wasteful number, since it uses less digits than its factorization.

107454630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 107454630400 in words is "one hundred seven billion, four hundred fifty-four million, six hundred thirty thousand, four hundred".