106217193504 has 192 divisors, whose sum is σ = 296329549824. Its totient is φ = 33243826176.

The previous prime is 106217193497. The next prime is 106217193517. The reversal of 106217193504 is 405391712601.

It is a super-2 number, since 2×106217193504² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36587317 + ... + 36590219.

It is an arithmetic number, because the mean of its divisors is an integer number (1543383072).

Almost surely, 2^106217193504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106217193504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148164774912).

106217193504 is an abundant number, since it is smaller than the sum of its proper divisors (190112356320).

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

106217193504 is a wasteful number, since it uses less digits than its factorization.

106217193504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 106217193504 in words is "one hundred six billion, two hundred seventeen million, one hundred ninety-three thousand, five hundred four".