434401103105 has 64 divisors (see below), whose sum is σ = 573005664000. Its totient is φ = 314853826560.

The previous prime is 434401103057. The next prime is 434401103131. The reversal of 434401103105 is 501301104434.

It is a happy number.

It is not a de Polignac number, because 434401103105 - 2¹² = 434401099009 is a prime.

It is a super-3 number, since 3×434401103105³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71338901 + ... + 71344989.

It is an arithmetic number, because the mean of its divisors is an integer number (8953213500).

Almost surely, 2^434401103105 is an apocalyptic number.

It is an amenable number.

434401103105 is a deficient number, since it is larger than the sum of its proper divisors (138604560895).

434401103105 is a wasteful number, since it uses less digits than its factorization.

434401103105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434.

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

Adding to 434401103105 its reverse (501301104434), we get a palindrome (935702207539).

The spelling of 434401103105 in words is "four hundred thirty-four billion, four hundred one million, one hundred three thousand, one hundred five".