10202344164 has 72 divisors (see below), whose sum is σ = 27363143808. Its totient is φ = 3194069760.

The previous prime is 10202344157. The next prime is 10202344171. The reversal of 10202344164 is 46144320201.

It is a happy number.

10202344164 is a `hidden beast` number, since 10 + 2 + 0 + 234 + 416 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10202344157) and next prime (10202344171).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280929 + ... + 315159.

It is an arithmetic number, because the mean of its divisors is an integer number (380043664).

Almost surely, 2^10202344164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202344164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13681571904).

10202344164 is an abundant number, since it is smaller than the sum of its proper divisors (17160799644).

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

10202344164 is a wasteful number, since it uses less digits than its factorization.

10202344164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34745 (or 34740 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10202344164 its reverse (46144320201), we get a palindrome (56346664365).

The spelling of 10202344164 in words is "ten billion, two hundred two million, three hundred forty-four thousand, one hundred sixty-four".