34010245100 has 144 divisors (see below), whose sum is σ = 84496987680. Its totient is φ = 11778048000.

The previous prime is 34010245097. The next prime is 34010245103. The reversal of 34010245100 is 154201043.

It is an interprime number because it is at equal distance from previous prime (34010245097) and next prime (34010245103).

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

It is not an unprimeable number, because it can be changed into a prime (34010245103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2487884 + ... + 2501516.

Almost surely, 2^34010245100 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 34010245100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42248493840).

34010245100 is an abundant number, since it is smaller than the sum of its proper divisors (50486742580).

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

34010245100 is a wasteful number, since it uses less digits than its factorization.

34010245100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13780 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 34010245100 its reverse (154201043), we get a palindrome (34164446143).

The spelling of 34010245100 in words is "thirty-four billion, ten million, two hundred forty-five thousand, one hundred".