106005661567 has 16 divisors (see below), whose sum is σ = 121034263392. Its totient is φ = 91974251520.

The previous prime is 106005661547. The next prime is 106005661583. The reversal of 106005661567 is 765166500601.

It is a cyclic number.

It is not a de Polignac number, because 106005661567 - 2⁷ = 106005661439 is a prime.

It is a super-2 number, since 2×106005661567² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005661547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146973 + ... + 483334.

It is an arithmetic number, because the mean of its divisors is an integer number (7564641462).

Almost surely, 2^106005661567 is an apocalyptic number.

106005661567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106005661567 is a deficient number, since it is larger than the sum of its proper divisors (15028601825).

106005661567 is a wasteful number, since it uses less digits than its factorization.

106005661567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631098.

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 106005661567 in words is "one hundred six billion, five million, six hundred sixty-one thousand, five hundred sixty-seven".