210104516034 has 288 divisors, whose sum is σ = 576508907520. Its totient is φ = 57072441888.

The previous prime is 210104516029. The next prime is 210104516051. The reversal of 210104516034 is 430615401012.

It is a happy number.

210104516034 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 0 + 4 + 51 + 603 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 210104515989 and 210104516007.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98041167 + ... + 98043309.

It is an arithmetic number, because the mean of its divisors is an integer number (2001767040).

Almost surely, 2^210104516034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210104516034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288254453760).

210104516034 is an abundant number, since it is smaller than the sum of its proper divisors (366404391486).

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

210104516034 is a wasteful number, since it uses less digits than its factorization.

210104516034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 210104516034 its reverse (430615401012), we get a palindrome (640719917046).

The spelling of 210104516034 in words is "two hundred ten billion, one hundred four million, five hundred sixteen thousand, thirty-four".