87107619600 has 135 divisors (see below), whose sum is σ = 302349102133. Its totient is φ = 23223976320.

The previous prime is 87107619569. The next prime is 87107619601. The reversal of 87107619600 is 691670178.

The square root of 87107619600 is 295140.

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., 31358743056 + 55748876544 = 177084^2 + 236112^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87107619601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 17705941 + ... + 17710859.

Almost surely, 2^87107619600 is an apocalyptic number.

87107619600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87107619600 is the 295140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87107619600

87107619600 is an abundant number, since it is smaller than the sum of its proper divisors (215241482533).

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

87107619600 is an equidigital number, since it uses as much as digits as its factorization.

87107619600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9862 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 87107619600 in words is "eighty-seven billion, one hundred seven million, six hundred nineteen thousand, six hundred".