35164420100 has 72 divisors (see below), whose sum is σ = 80877823488. Its totient is φ = 13224870400.

The previous prime is 35164420099. The next prime is 35164420147. The reversal of 35164420100 is 102446153.

It is a self number, because there is not a number n which added to its sum of digits gives 35164420100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1742669 + ... + 1762731.

It is an arithmetic number, because the mean of its divisors is an integer number (1123303104).

Almost surely, 2^35164420100 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 35164420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40438911744).

35164420100 is an abundant number, since it is smaller than the sum of its proper divisors (45713403388).

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

35164420100 is a wasteful number, since it uses less digits than its factorization.

35164420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21125 (or 21118 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 35164420100 its reverse (102446153), we get a palindrome (35266866253).

The spelling of 35164420100 in words is "thirty-five billion, one hundred sixty-four million, four hundred twenty thousand, one hundred".