106550512164 has 72 divisors (see below), whose sum is σ = 277346538560. Its totient is φ = 34465580352.

The previous prime is 106550512147. The next prime is 106550512183. The reversal of 106550512164 is 461215055601.

106550512164 is a `hidden beast` number, since 10 + 65 + 505 + 1 + 21 + 64 = 666.

It is a super-2 number, since 2×106550512164² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 399297 + ... + 610359.

Almost surely, 2^106550512164 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 106550512164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138673269280).

106550512164 is an abundant number, since it is smaller than the sum of its proper divisors (170796026396).

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

106550512164 is a wasteful number, since it uses less digits than its factorization.

106550512164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211489 (or 211484 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 106550512164 its reverse (461215055601), we get a palindrome (567765567765).

The spelling of 106550512164 in words is "one hundred six billion, five hundred fifty million, five hundred twelve thousand, one hundred sixty-four".