870840100 has 81 divisors (see below), whose sum is σ = 2055322227.
Its totient is φ = 320124480.
The previous prime is 870840083. The next prime is 870840121. The reversal of 870840100 is 1048078.
Adding to 870840100 its reverse (1048078), we get a palindrome (871888178).
The square root of 870840100 is 29510.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 224460324 + 646379776 = 14982^2 + 25424^2
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3836187 + ... + 3836413.
Almost surely, 2870840100 is an apocalyptic number.
870840100 is the 29510-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 870840100
870840100 is an abundant number, since it is smaller than the sum of its proper divisors (1184482127).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
870840100 is a wasteful number, since it uses less digits than its factorization.
870840100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 494 (or 247 counting only the distinct ones).
The product of its (nonzero) digits is 1792, while the sum is 28.
The cubic root of 870840100 is about 954.9474492067.
The spelling of 870840100 in words is "eight hundred seventy million, eight hundred forty thousand, one hundred".