107368934400 has 1320 divisors, whose sum is σ = 490182480480. Its totient is φ = 22613852160.

The previous prime is 107368934381. The next prime is 107368934401. The reversal of 107368934400 is 4439863701.

107368934400 is a `hidden beast` number, since 107 + 36 + 89 + 34 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107368934401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 188697316 + ... + 188697884.

It is an arithmetic number, because the mean of its divisors is an integer number (371350364).

Almost surely, 2^107368934400 is an apocalyptic number.

107368934400 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 107368934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245091240240).

107368934400 is an abundant number, since it is smaller than the sum of its proper divisors (382813546080).

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

107368934400 is a wasteful number, since it uses less digits than its factorization.

107368934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 107368934400 in words is "one hundred seven billion, three hundred sixty-eight million, nine hundred thirty-four thousand, four hundred".