87114703104 has 729 divisors, whose sum is σ = 306067768461. Its totient is φ = 23801057280.

The previous prime is 87114703043. The next prime is 87114703127. The reversal of 87114703104 is 40130741178.

The square root of 87114703104 is 295152.

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

87114703104 is a `hidden beast` number, since 87 + 1 + 1 + 470 + 3 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12886790400 + 74227912704 = 113520^2 + 272448^2 .

It is a super-3 number, since 3×87114703104³ (a number of 34 digits) contains 333 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 (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2025923307 + ... + 2025923349.

Almost surely, 2^87114703104 is an apocalyptic number.

87114703104 is the 295152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87114703104

87114703104 is an abundant number, since it is smaller than the sum of its proper divisors (218953065357).

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

87114703104 is a wasteful number, since it uses less digits than its factorization.

87114703104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Multiplying 87114703104 by its sum of digits (36), we get a square (3136129311744 = 1770912²).

87114703104 divided by its sum of digits (36) gives a square (2419852864 = 49192²).

The spelling of 87114703104 in words is "eighty-seven billion, one hundred fourteen million, seven hundred three thousand, one hundred four".