106405056424 has 32 divisors (see below), whose sum is σ = 201632760000. Its totient is φ = 52639310592.

The previous prime is 106405056419. The next prime is 106405056467. The reversal of 106405056424 is 424650504601.

It is a super-3 number, since 3×106405056424³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 98272 + ... + 471664.

It is an arithmetic number, because the mean of its divisors is an integer number (6301023750).

Almost surely, 2^106405056424 is an apocalyptic number.

It is an amenable number.

106405056424 is a deficient number, since it is larger than the sum of its proper divisors (95227703576).

106405056424 is a wasteful number, since it uses less digits than its factorization.

106405056424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373777 (or 373773 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 106405056424 in words is "one hundred six billion, four hundred five million, fifty-six thousand, four hundred twenty-four".