106854638191 has 16 divisors (see below), whose sum is σ = 124737516288. Its totient is φ = 89645400000.

The previous prime is 106854638179. The next prime is 106854638279. The reversal of 106854638191 is 191836458601.

It is a cyclic number.

It is not a de Polignac number, because 106854638191 - 2⁷ = 106854638063 is a prime.

It is a super-2 number, since 2×106854638191² (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 (106854638161) 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, 731185 + ... + 865066.

It is an arithmetic number, because the mean of its divisors is an integer number (7796094768).

Almost surely, 2^106854638191 is an apocalyptic number.

106854638191 is a deficient number, since it is larger than the sum of its proper divisors (17882878097).

106854638191 is a wasteful number, since it uses less digits than its factorization.

106854638191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596462.

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 106854638191 in words is "one hundred six billion, eight hundred fifty-four million, six hundred thirty-eight thousand, one hundred ninety-one".