8705135010 has 128 divisors (see below), whose sum is σ = 24654792960. Its totient is φ = 1939276800.

The previous prime is 8705134987. The next prime is 8705135041. The reversal of 8705135010 is 105315078.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 977980 + ... + 986840.

It is an arithmetic number, because the mean of its divisors is an integer number (192615570).

Almost surely, 2^8705135010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8705135010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12327396480).

8705135010 is an abundant number, since it is smaller than the sum of its proper divisors (15949657950).

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

8705135010 is a wasteful number, since it uses less digits than its factorization.

8705135010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9124.

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 8705135010 is about 93301.3130132690. The cubic root of 8705135010 is about 2057.1146813339.

The spelling of 8705135010 in words is "eight billion, seven hundred five million, one hundred thirty-five thousand, ten".