107616802500 has 255 divisors, whose sum is σ = 353004632827. Its totient is φ = 28697814000.

The previous prime is 107616802493. The next prime is 107616802507. The reversal of 107616802500 is 5208616701.

The square root of 107616802500 is 328050.

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

107616802500 is a `hidden beast` number, since 1 + 0 + 76 + 1 + 6 + 80 + 2 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (107616802493) and next prime (107616802507).

It can be written as a sum of positive squares in 2 ways, for example, as 8437157316 + 99179645184 = 91854^2 + 314928^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=405.

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

It is a Duffinian number.

It is a zygodrome in base 9.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 6075 × 3645 × 4860.

It is not an unprimeable number, because it can be changed into a prime (107616802507) by changing a digit.

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 84 ways as a sum of consecutive naturals, for example, 21523360498 + ... + 21523360502.

Almost surely, 2^107616802500 is an apocalyptic number.

107616802500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107616802500 is the 328050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107616802500

107616802500 is an abundant number, since it is smaller than the sum of its proper divisors (245387830327).

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

107616802500 is an frugal number, since it uses more digits than its factorization.

107616802500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 107616802500 by its sum of digits (36), we get a square (3874204890000 = 1968300²).

107616802500 divided by its sum of digits (36) gives a square (2989355625 = 54675²).

It can be divided in two parts, 107616 and 802500, that added together give a square (910116 = 954²).

The spelling of 107616802500 in words is "one hundred seven billion, six hundred sixteen million, eight hundred two thousand, five hundred".