1020164310 has 144 divisors (see below), whose sum is σ = 3042984672. Its totient is φ = 236501760.

The previous prime is 1020164309. The next prime is 1020164317. The reversal of 1020164310 is 134610201.

It is a happy number.

1020164310 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 643 + 1 + 0 = 666.

It is a super-2 number, since 2×1020164310² = 2081470438795552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020164317) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 248434 + ... + 252506.

It is an arithmetic number, because the mean of its divisors is an integer number (21131838).

Almost surely, 2^1020164310 is an apocalyptic number.

1020164310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020164310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521492336).

1020164310 is an abundant number, since it is smaller than the sum of its proper divisors (2022820362).

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

1020164310 is a wasteful number, since it uses less digits than its factorization.

1020164310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1020164310 is about 31940.0111145879. The cubic root of 1020164310 is about 1006.6767583500.

Adding to 1020164310 its reverse (134610201), we get a palindrome (1154774511).

The spelling of 1020164310 in words is "one billion, twenty million, one hundred sixty-four thousand, three hundred ten".