106138584519 has 8 divisors (see below), whose sum is σ = 154383395712. Its totient is φ = 64326414840.

The previous prime is 106138584509. The next prime is 106138584547. The reversal of 106138584519 is 915485831601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106138584519 - 2²³ = 106130195911 is a prime.

It is a super-2 number, since 2×106138584519² (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 (106138584509) 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 7 ways as a sum of consecutive naturals, for example, 1608160339 + ... + 1608160404.

It is an arithmetic number, because the mean of its divisors is an integer number (19297924464).

Almost surely, 2^106138584519 is an apocalyptic number.

106138584519 is a deficient number, since it is larger than the sum of its proper divisors (48244811193).

106138584519 is a wasteful number, since it uses less digits than its factorization.

106138584519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216320757.

The product of its (nonzero) digits is 1036800, while the sum is 51.

The spelling of 106138584519 in words is "one hundred six billion, one hundred thirty-eight million, five hundred eighty-four thousand, five hundred nineteen".