107637554021904 has 135 divisors (see below), whose sum is σ = 302670612982413. Its totient is φ = 35709078600576.

The previous prime is 107637554021869. The next prime is 107637554021927. The reversal of 107637554021904 is 409120455736701.

The square root of 107637554021904 is 10374852.

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

107637554021904 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 3 + 7 + 5 + 540 + 2 + 1 + 90 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27369429296400 + 80268124725504 = 5231580^2 + 8959248^2 .

It is a super-2 number, since 2×107637554021904² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27763102014 + ... + 27763105890.

Almost surely, 2^{107637554021904} is an apocalyptic number.

107637554021904 is the 10374852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107637554021904

107637554021904 is an abundant number, since it is smaller than the sum of its proper divisors (195033058960509).

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

107637554021904 is an frugal number, since it uses more digits than its factorization.

107637554021904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 107637554021904 in words is "one hundred seven trillion, six hundred thirty-seven billion, five hundred fifty-four million, twenty-one thousand, nine hundred four".