87078108100 has 81 divisors (see below), whose sum is σ = 197686407373. Its totient is φ = 33290873440.

The previous prime is 87078108079. The next prime is 87078108121. The reversal of 87078108100 is 180187078.

The square root of 87078108100 is 295090.

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

It is an interprime number because it is at equal distance from previous prime (87078108079) and next prime (87078108121).

It can be written as a sum of positive squares in only one way, i.e., 31348118916 + 55729989184 = 177054^2 + 236072^2 .

It is a super-2 number, since 2×87078108100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67870059 + ... + 67871341.

Almost surely, 2^87078108100 is an apocalyptic number.

87078108100 is the 295090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87078108100

87078108100 is an abundant number, since it is smaller than the sum of its proper divisors (110608299273).

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

87078108100 is a wasteful number, since it uses less digits than its factorization.

87078108100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 40.

The spelling of 87078108100 in words is "eighty-seven billion, seventy-eight million, one hundred eight thousand, one hundred".