34500105200 has 240 divisors, whose sum is σ = 94501049760. Its totient is φ = 11988480000.

The previous prime is 34500105191. The next prime is 34500105223. The reversal of 34500105200 is 250100543.

It is a super-2 number, since 2×34500105200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12886262 + ... + 12888938.

It is an arithmetic number, because the mean of its divisors is an integer number (393754374).

Almost surely, 2^34500105200 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 34500105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47250524880).

34500105200 is an abundant number, since it is smaller than the sum of its proper divisors (60000944560).

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

34500105200 is a wasteful number, since it uses less digits than its factorization.

34500105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 34500105200 its reverse (250100543), we get a palindrome (34750205743).

The spelling of 34500105200 in words is "thirty-four billion, five hundred million, one hundred five thousand, two hundred".