107696400 has 120 divisors (see below), whose sum is σ = 394302144. Its totient is φ = 24614400.

The previous prime is 107696399. The next prime is 107696437. The reversal of 107696400 is 4696701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1990 + ... + 14810.

Almost surely, 2^107696400 is an apocalyptic number.

107696400 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 107696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197151072).

107696400 is an abundant number, since it is smaller than the sum of its proper divisors (286605744).

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

107696400 is a wasteful number, since it uses less digits than its factorization.

107696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12849 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 107696400 is about 10377.6876037005. The cubic root of 107696400 is about 475.7736607230.

The spelling of 107696400 in words is "one hundred seven million, six hundred ninety-six thousand, four hundred".