106105612149 has 40 divisors (see below), whose sum is σ = 168832496448. Its totient is φ = 66177267840.

The previous prime is 106105612141. The next prime is 106105612159. The reversal of 106105612149 is 941216501601.

106105612149 is a `hidden beast` number, since 10 + 6 + 10 + 5 + 612 + 14 + 9 = 666.

It is not a de Polignac number, because 106105612149 - 2³ = 106105612141 is a prime.

It is a super-2 number, since 2×106105612149² (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 (106105612141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 747 + ... + 460664.

Almost surely, 2^106105612149 is an apocalyptic number.

It is an amenable number.

106105612149 is a deficient number, since it is larger than the sum of its proper divisors (62726884299).

106105612149 is a wasteful number, since it uses less digits than its factorization.

106105612149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461607 (or 461598 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 106105612149 in words is "one hundred six billion, one hundred five million, six hundred twelve thousand, one hundred forty-nine".