106105621416 has 16 divisors (see below), whose sum is σ = 265264053600. Its totient is φ = 35368540464.

The previous prime is 106105621367. The next prime is 106105621459. The reversal of 106105621416 is 614126501601.

It is a super-2 number, since 2×106105621416² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2210533756 + ... + 2210533803.

It is an arithmetic number, because the mean of its divisors is an integer number (16579003350).

Almost surely, 2^106105621416 is an apocalyptic number.

It is an amenable number.

106105621416 is an abundant number, since it is smaller than the sum of its proper divisors (159158432184).

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

106105621416 is a wasteful number, since it uses less digits than its factorization.

106105621416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421067568 (or 4421067564 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 106105621416 in words is "one hundred six billion, one hundred five million, six hundred twenty-one thousand, four hundred sixteen".