106405807191 has 16 divisors (see below), whose sum is σ = 143683182720. Its totient is φ = 70034002400.

The previous prime is 106405807177. The next prime is 106405807223. The reversal of 106405807191 is 191708504601.

It is a cyclic number.

It is not a de Polignac number, because 106405807191 - 2¹⁰ = 106405806167 is a prime.

It is a super-2 number, since 2×106405807191² (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 (106405807171) 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, 214045 + ... + 508553.

It is an arithmetic number, because the mean of its divisors is an integer number (8980198920).

Almost surely, 2^106405807191 is an apocalyptic number.

106405807191 is a deficient number, since it is larger than the sum of its proper divisors (37277375529).

106405807191 is a wasteful number, since it uses less digits than its factorization.

106405807191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296046.

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 106405807191 in words is "one hundred six billion, four hundred five million, eight hundred seven thousand, one hundred ninety-one".