106814267619 has 32 divisors (see below), whose sum is σ = 144318412800. Its totient is φ = 70267392000.

The previous prime is 106814267611. The next prime is 106814267629. The reversal of 106814267619 is 916762418601.

It is not a de Polignac number, because 106814267619 - 2³ = 106814267611 is a prime.

It is a super-2 number, since 2×106814267619² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106814267611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66716419 + ... + 66718019.

It is an arithmetic number, because the mean of its divisors is an integer number (4509950400).

Almost surely, 2^106814267619 is an apocalyptic number.

106814267619 is a deficient number, since it is larger than the sum of its proper divisors (37504145181).

106814267619 is a wasteful number, since it uses less digits than its factorization.

106814267619 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611.

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 106814267619 in words is "one hundred six billion, eight hundred fourteen million, two hundred sixty-seven thousand, six hundred nineteen".