105617226 has 96 divisors (see below), whose sum is σ = 264679488. Its totient is φ = 27755520.

The previous prime is 105617221. The next prime is 105617227. The reversal of 105617226 is 622716501.

It is a super-2 number, since 2×105617226² = 22309996855870152, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105617193 and 105617202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105617221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189340 + ... + 189896.

It is an arithmetic number, because the mean of its divisors is an integer number (2757078).

Almost surely, 2^105617226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105617226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132339744).

105617226 is an abundant number, since it is smaller than the sum of its proper divisors (159062262).

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

105617226 is a wasteful number, since it uses less digits than its factorization.

105617226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105617226 is about 10277.0241801798. The cubic root of 105617226 is about 472.6920000197.

The spelling of 105617226 in words is "one hundred five million, six hundred seventeen thousand, two hundred twenty-six".