106145950221 has 24 divisors (see below), whose sum is σ = 161404464000. Its totient is φ = 67034164032.

The previous prime is 106145950147. The next prime is 106145950301. The reversal of 106145950221 is 122059541601.

106145950221 is a `hidden beast` number, since 1 + 0 + 6 + 145 + 9 + 502 + 2 + 1 = 666.

It is not a de Polignac number, because 106145950221 - 2⁷ = 106145950093 is a prime.

It is a super-2 number, since 2×106145950221² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106145950621) 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, 4132065 + ... + 4157673.

It is an arithmetic number, because the mean of its divisors is an integer number (6725186000).

Almost surely, 2^106145950221 is an apocalyptic number.

It is an amenable number.

106145950221 is a deficient number, since it is larger than the sum of its proper divisors (55258513779).

106145950221 is a wasteful number, since it uses less digits than its factorization.

106145950221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49873 (or 49870 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 106145950221 in words is "one hundred six billion, one hundred forty-five million, nine hundred fifty thousand, two hundred twenty-one".