106179543385872 has 80 divisors (see below), whose sum is σ = 305599923781632. Its totient is φ = 31491031557760.

The previous prime is 106179543385849. The next prime is 106179543386003. The reversal of 106179543385872 is 278583345971601.

It is a super-2 number, since 2×106179543385872² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106179543385797 and 106179543385806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2139311568 + ... + 2139361199.

It is a 2-persistent number, because it is pandigital, and so is 2⋅106179543385872 = 212359086771744, but 3⋅106179543385872 = 318538630157616 is not.

Almost surely, 2^{106179543385872} is an apocalyptic number.

106179543385872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106179543385872 is an abundant number, since it is smaller than the sum of its proper divisors (199420380395760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106179543385872 is a wasteful number, since it uses less digits than its factorization.

106179543385872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278672836 (or 4278672830 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 69.

The spelling of 106179543385872 in words is "one hundred six trillion, one hundred seventy-nine billion, five hundred forty-three million, three hundred eighty-five thousand, eight hundred seventy-two".