106405204434 has 16 divisors (see below), whose sum is σ = 217759488672. Its totient is φ = 34643554848.

The previous prime is 106405204429. The next prime is 106405204447. The reversal of 106405204434 is 434402504601.

It is a happy number.

It is a super-3 number, since 3×106405204434³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106405204395 and 106405204404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206211379 + ... + 206211894.

It is an arithmetic number, because the mean of its divisors is an integer number (13609968042).

Almost surely, 2^106405204434 is an apocalyptic number.

106405204434 is an abundant number, since it is smaller than the sum of its proper divisors (111354284238).

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

106405204434 is a wasteful number, since it uses less digits than its factorization.

106405204434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412423321.

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 106405204434 in words is "one hundred six billion, four hundred five million, two hundred four thousand, four hundred thirty-four".