107156713104 has 315 divisors, whose sum is σ = 362941515513. Its totient is φ = 30545496576.

The previous prime is 107156713073. The next prime is 107156713141. The reversal of 107156713104 is 401317651701.

It is a happy number.

The square root of 107156713104 is 327348.

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

107156713104 is a `hidden beast` number, since 1 + 0 + 71 + 567 + 13 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12016544400 + 95140168704 = 109620^2 + 308448^2 .

It is a super-2 number, since 2×107156713104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 62 ways as a sum of consecutive naturals, for example, 247474872 + ... + 247475304.

Almost surely, 2^107156713104 is an apocalyptic number.

107156713104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

107156713104 is the 327348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107156713104

107156713104 is an abundant number, since it is smaller than the sum of its proper divisors (255784802409).

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

107156713104 is an frugal number, since it uses more digits than its factorization.

107156713104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Multiplying 107156713104 by its sum of digits (36), we get a square (3857641671744 = 1964088²).

107156713104 divided by its sum of digits (36) gives a square (2976575364 = 54558²).

The spelling of 107156713104 in words is "one hundred seven billion, one hundred fifty-six million, seven hundred thirteen thousand, one hundred four".