105656616 has 128 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 32175360.

The previous prime is 105656597. The next prime is 105656627. The reversal of 105656616 is 616656501.

It is a super-2 number, since 2×105656616² = 22326641009142912, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536230 + ... + 536426.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^105656616 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 105656616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

105656616 is an abundant number, since it is smaller than the sum of its proper divisors (213677784).

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

105656616 is a wasteful number, since it uses less digits than its factorization.

105656616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105656616 is about 10278.9404123188. The cubic root of 105656616 is about 472.7507562926.

The spelling of 105656616 in words is "one hundred five million, six hundred fifty-six thousand, six hundred sixteen".