107301919864896 has 63 divisors (see below), whose sum is σ = 307562291926383. Its totient is φ = 35767223752320.

The previous prime is 107301919864891. The next prime is 107301919864981. The reversal of 107301919864896 is 698468919103701.

The square root of 107301919864896 is 10358664.

It is a perfect power (a square), and thus also a powerful number.

107301919864896 is a `hidden beast` number, since 1 + 0 + 7 + 301 + 9 + 198 + 6 + 48 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (107301919864891) 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 8 ways as a sum of consecutive naturals, for example, 248392131 + ... + 248823741.

Almost surely, 2^{107301919864896} is an apocalyptic number.

107301919864896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107301919864896 is the 10358664-th square number.

It is an amenable number.

107301919864896 is an abundant number, since it is smaller than the sum of its proper divisors (200260372061487).

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

107301919864896 is an frugal number, since it uses more digits than its factorization.

107301919864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863240 (or 431616 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 107301919864896 in words is "one hundred seven trillion, three hundred one billion, nine hundred nineteen million, eight hundred sixty-four thousand, eight hundred ninety-six".