106044632226 has 96 divisors (see below), whose sum is σ = 249749660160. Its totient is φ = 32325609600.

The previous prime is 106044632087. The next prime is 106044632233. The reversal of 106044632226 is 622236440601.

106044632226 is a `hidden beast` number, since 1 + 0 + 604 + 4 + 6 + 3 + 22 + 26 = 666.

It is a super-2 number, since 2×106044632226² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11473315 + ... + 11482553.

It is an arithmetic number, because the mean of its divisors is an integer number (2601558960).

Almost surely, 2^106044632226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106044632226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124874830080).

106044632226 is an abundant number, since it is smaller than the sum of its proper divisors (143705027934).

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

106044632226 is a wasteful number, since it uses less digits than its factorization.

106044632226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9712 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 106044632226 in words is "one hundred six billion, forty-four million, six hundred thirty-two thousand, two hundred twenty-six".