107873316619264 has 297 divisors, whose sum is σ = 253201588545717. Its totient is φ = 45801681666048.

The previous prime is 107873316619253. The next prime is 107873316619319. The reversal of 107873316619264 is 462916613378701.

It is a happy number.

The square root of 107873316619264 is 10386208.

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

It can be written as a sum of positive squares in only one way, i.e., 21906893030400 + 85966423588864 = 4680480^2 + 9271808^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 107873316619196 and 107873316619205.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 462975607692 + ... + 462975607924.

Almost surely, 2^{107873316619264} is an apocalyptic number.

107873316619264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

107873316619264 is the 10386208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107873316619264

107873316619264 is an abundant number, since it is smaller than the sum of its proper divisors (145328271926453).

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

107873316619264 is an frugal number, since it uses more digits than its factorization.

107873316619264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

107873316619264 divided by its sum of digits (64) gives a square (1685520572176 = 1298276²).

The spelling of 107873316619264 in words is "one hundred seven trillion, eight hundred seventy-three billion, three hundred sixteen million, six hundred nineteen thousand, two hundred sixty-four".