107447229542400 has 936 divisors, whose sum is σ = 411685586876544. Its totient is φ = 24515366092800.

The previous prime is 107447229542381. The next prime is 107447229542407. The reversal of 107447229542400 is 4245922744701.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107447229542407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 976533789 + ... + 976643811.

Almost surely, 2^{107447229542400} is an apocalyptic number.

107447229542400 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 107447229542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205842793438272).

107447229542400 is an abundant number, since it is smaller than the sum of its proper divisors (304238357334144).

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

107447229542400 is a wasteful number, since it uses less digits than its factorization.

107447229542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110105 (or 110061 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 107447229542400 in words is "one hundred seven trillion, four hundred forty-seven billion, two hundred twenty-nine million, five hundred forty-two thousand, four hundred".