34414102100 has 72 divisors (see below), whose sum is σ = 85372952448. Its totient is φ = 11795529600.

The previous prime is 34414102069. The next prime is 34414102103. The reversal of 34414102100 is 120141443.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34414102103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3404654 + ... + 3414746.

Almost surely, 2^34414102100 is an apocalyptic number.

It is an amenable number.

34414102100 is an abundant number, since it is smaller than the sum of its proper divisors (50958850348).

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

34414102100 is a wasteful number, since it uses less digits than its factorization.

34414102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14985 (or 14978 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34414102100 its reverse (120141443), we get a palindrome (34534243543).

The spelling of 34414102100 in words is "thirty-four billion, four hundred fourteen million, one hundred two thousand, one hundred".